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Finding the Fourth Proportional to 261,031.60, 391,547.40 and 257,532.40

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Solution

The fourth proportional to 261,031.60, 391,547.40 and 257,532.40 is: 386,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,031.60 : 391,547.40 = 257,532.40 : x
  2. Step 2: Convert to fraction form
    261,031.60/391,547.40 = 257,532.40/x
  3. Step 3: Cross multiply
    261,031.60x = 391,547.40 × 257,532.40
  4. Step 4: Simplify right side
    261,031.60x = 100,836,141,635.76
  5. Step 5: Solve for x
    x = 100,836,141,635.76/261,031.60
  6. Step 6: Final answer
    x = 386,298.60

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