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Finding the Fourth Proportional to 506,116.76, 698,419.90 and 299,519.08

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Solution

The fourth proportional to 506,116.76, 698,419.90 and 299,519.08 is: 413,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,116.76 : 698,419.90 = 299,519.08 : x
  2. Step 2: Convert to fraction form
    506,116.76/698,419.90 = 299,519.08/x
  3. Step 3: Cross multiply
    506,116.76x = 698,419.90 × 299,519.08
  4. Step 4: Simplify right side
    506,116.76x = 209,190,085,901.69
  5. Step 5: Solve for x
    x = 209,190,085,901.69/506,116.76
  6. Step 6: Final answer
    x = 413,323.77

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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.