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Finding the Fourth Proportional to 686,949.68, 948,460.66 and 429,219.84

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Solution

The fourth proportional to 686,949.68, 948,460.66 and 429,219.84 is: 592,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,949.68 : 948,460.66 = 429,219.84 : x
  2. Step 2: Convert to fraction form
    686,949.68/948,460.66 = 429,219.84/x
  3. Step 3: Cross multiply
    686,949.68x = 948,460.66 × 429,219.84
  4. Step 4: Simplify right side
    686,949.68x = 407,098,132,731.49
  5. Step 5: Solve for x
    x = 407,098,132,731.49/686,949.68
  6. Step 6: Final answer
    x = 592,617.11

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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.