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Finding the Fourth Proportional to 392,210.72, 588,316 and 234,484.32

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Solution

The fourth proportional to 392,210.72, 588,316 and 234,484.32 is: 351,726.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,210.72 : 588,316 = 234,484.32 : x
  2. Step 2: Convert to fraction form
    392,210.72/588,316 = 234,484.32/x
  3. Step 3: Cross multiply
    392,210.72x = 588,316 × 234,484.32
  4. Step 4: Simplify right side
    392,210.72x = 137,950,877,205.12
  5. Step 5: Solve for x
    x = 137,950,877,205.12/392,210.72
  6. Step 6: Final answer
    x = 351,726.43

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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.