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Finding the Fourth Proportional to 529,966.86, 731,113.02 and 314,984.76

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Solution

The fourth proportional to 529,966.86, 731,113.02 and 314,984.76 is: 434,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,966.86 : 731,113.02 = 314,984.76 : x
  2. Step 2: Convert to fraction form
    529,966.86/731,113.02 = 314,984.76/x
  3. Step 3: Cross multiply
    529,966.86x = 731,113.02 × 314,984.76
  4. Step 4: Simplify right side
    529,966.86x = 230,289,459,137.58
  5. Step 5: Solve for x
    x = 230,289,459,137.58/529,966.86
  6. Step 6: Final answer
    x = 434,535.58

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