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Finding the Fourth Proportional to 514,640.91, 710,206.13 and 285,201.98

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Solution

The fourth proportional to 514,640.91, 710,206.13 and 285,201.98 is: 393,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,640.91 : 710,206.13 = 285,201.98 : x
  2. Step 2: Convert to fraction form
    514,640.91/710,206.13 = 285,201.98/x
  3. Step 3: Cross multiply
    514,640.91x = 710,206.13 × 285,201.98
  4. Step 4: Simplify right side
    514,640.91x = 202,552,189,507.10
  5. Step 5: Solve for x
    x = 202,552,189,507.10/514,640.91
  6. Step 6: Final answer
    x = 393,579.65

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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.