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Finding the Fourth Proportional to 403,916.30, 564,376.90 and 403,916.30

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Solution

The fourth proportional to 403,916.30, 564,376.90 and 403,916.30 is: 564,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,916.30 : 564,376.90 = 403,916.30 : x
  2. Step 2: Convert to fraction form
    403,916.30/564,376.90 = 403,916.30/x
  3. Step 3: Cross multiply
    403,916.30x = 564,376.90 × 403,916.30
  4. Step 4: Simplify right side
    403,916.30x = 227,961,029,253.47
  5. Step 5: Solve for x
    x = 227,961,029,253.47/403,916.30
  6. Step 6: Final answer
    x = 564,376.90

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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.