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Finding the Fourth Proportional to 402,294.53, 564,786.98 and 402,294.53

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Solution

The fourth proportional to 402,294.53, 564,786.98 and 402,294.53 is: 564,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,294.53 : 564,786.98 = 402,294.53 : x
  2. Step 2: Convert to fraction form
    402,294.53/564,786.98 = 402,294.53/x
  3. Step 3: Cross multiply
    402,294.53x = 564,786.98 × 402,294.53
  4. Step 4: Simplify right side
    402,294.53x = 227,210,707,833.81
  5. Step 5: Solve for x
    x = 227,210,707,833.81/402,294.53
  6. Step 6: Final answer
    x = 564,786.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.