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Finding the Fourth Proportional to 309,200.59, 463,505.64 and 98,701.84

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Solution

The fourth proportional to 309,200.59, 463,505.64 and 98,701.84 is: 147,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,200.59 : 463,505.64 = 98,701.84 : x
  2. Step 2: Convert to fraction form
    309,200.59/463,505.64 = 98,701.84/x
  3. Step 3: Cross multiply
    309,200.59x = 463,505.64 × 98,701.84
  4. Step 4: Simplify right side
    309,200.59x = 45,748,860,282.83
  5. Step 5: Solve for x
    x = 45,748,860,282.83/309,200.59
  6. Step 6: Final answer
    x = 147,958.51

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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.