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Finding the Fourth Proportional to 524,061.92, 786,259.02 and 187,095.34

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Solution

The fourth proportional to 524,061.92, 786,259.02 and 187,095.34 is: 280,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,061.92 : 786,259.02 = 187,095.34 : x
  2. Step 2: Convert to fraction form
    524,061.92/786,259.02 = 187,095.34/x
  3. Step 3: Cross multiply
    524,061.92x = 786,259.02 × 187,095.34
  4. Step 4: Simplify right side
    524,061.92x = 147,105,398,674.97
  5. Step 5: Solve for x
    x = 147,105,398,674.97/524,061.92
  6. Step 6: Final answer
    x = 280,702.32

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Why These Related Problems?

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