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Finding the Fourth Proportional to 686,947.18, 948,457.20 and 429,217.34

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Solution

The fourth proportional to 686,947.18, 948,457.20 and 429,217.34 is: 592,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,947.18 : 948,457.20 = 429,217.34 : x
  2. Step 2: Convert to fraction form
    686,947.18/948,457.20 = 429,217.34/x
  3. Step 3: Cross multiply
    686,947.18x = 948,457.20 × 429,217.34
  4. Step 4: Simplify right side
    686,947.18x = 407,094,276,487.85
  5. Step 5: Solve for x
    x = 407,094,276,487.85/686,947.18
  6. Step 6: Final answer
    x = 592,613.65

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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.