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Finding the Fourth Proportional to 524,264.59, 786,267.28 and 224,711.20

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Solution

The fourth proportional to 524,264.59, 786,267.28 and 224,711.20 is: 337,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,264.59 : 786,267.28 = 224,711.20 : x
  2. Step 2: Convert to fraction form
    524,264.59/786,267.28 = 224,711.20/x
  3. Step 3: Cross multiply
    524,264.59x = 786,267.28 × 224,711.20
  4. Step 4: Simplify right side
    524,264.59x = 176,683,064,009.54
  5. Step 5: Solve for x
    x = 176,683,064,009.54/524,264.59
  6. Step 6: Final answer
    x = 337,011.25

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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.