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Finding the Fourth Proportional to 289,702,941.60, 434,554,412.40 and 257,958,199.20

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Solution

The fourth proportional to 289,702,941.60, 434,554,412.40 and 257,958,199.20 is: 386,937,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,702,941.60 : 434,554,412.40 = 257,958,199.20 : x
  2. Step 2: Convert to fraction form
    289,702,941.60/434,554,412.40 = 257,958,199.20/x
  3. Step 3: Cross multiply
    289,702,941.60x = 434,554,412.40 × 257,958,199.20
  4. Step 4: Simplify right side
    289,702,941.60x = 112,096,873,677,118,144
  5. Step 5: Solve for x
    x = 112,096,873,677,118,144/289,702,941.60
  6. Step 6: Final answer
    x = 386,937,298.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.