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Finding the Fourth Proportional to 364,041.10, 546,061.65 and 257,752.90

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Solution

The fourth proportional to 364,041.10, 546,061.65 and 257,752.90 is: 386,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.10 : 546,061.65 = 257,752.90 : x
  2. Step 2: Convert to fraction form
    364,041.10/546,061.65 = 257,752.90/x
  3. Step 3: Cross multiply
    364,041.10x = 546,061.65 × 257,752.90
  4. Step 4: Simplify right side
    364,041.10x = 140,748,973,866.29
  5. Step 5: Solve for x
    x = 140,748,973,866.29/364,041.10
  6. Step 6: Final answer
    x = 386,629.35

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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.