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Finding the Fourth Proportional to 510,691.86, 766,036.98 and 509,953.14

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Solution

The fourth proportional to 510,691.86, 766,036.98 and 509,953.14 is: 764,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,691.86 : 766,036.98 = 509,953.14 : x
  2. Step 2: Convert to fraction form
    510,691.86/766,036.98 = 509,953.14/x
  3. Step 3: Cross multiply
    510,691.86x = 766,036.98 × 509,953.14
  4. Step 4: Simplify right side
    510,691.86x = 390,642,963,307.12
  5. Step 5: Solve for x
    x = 390,642,963,307.12/510,691.86
  6. Step 6: Final answer
    x = 764,928.90

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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.