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Finding the Fourth Proportional to 345,681, 477,039.84 and 186,705

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Solution

The fourth proportional to 345,681, 477,039.84 and 186,705 is: 257,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,681 : 477,039.84 = 186,705 : x
  2. Step 2: Convert to fraction form
    345,681/477,039.84 = 186,705/x
  3. Step 3: Cross multiply
    345,681x = 477,039.84 × 186,705
  4. Step 4: Simplify right side
    345,681x = 89,065,723,327.20
  5. Step 5: Solve for x
    x = 89,065,723,327.20/345,681
  6. Step 6: Final answer
    x = 257,652.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.