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Finding the Fourth Proportional to 829,475.38, 1,242,220.20 and 473,410

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Solution

The fourth proportional to 829,475.38, 1,242,220.20 and 473,410 is: 708,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,475.38 : 1,242,220.20 = 473,410 : x
  2. Step 2: Convert to fraction form
    829,475.38/1,242,220.20 = 473,410/x
  3. Step 3: Cross multiply
    829,475.38x = 1,242,220.20 × 473,410
  4. Step 4: Simplify right side
    829,475.38x = 588,079,464,882
  5. Step 5: Solve for x
    x = 588,079,464,882/829,475.38
  6. Step 6: Final answer
    x = 708,977.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.