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Finding the Fourth Proportional to 524,425.68, 786,639.24 and 224,712

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Solution

The fourth proportional to 524,425.68, 786,639.24 and 224,712 is: 337,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,425.68 : 786,639.24 = 224,712 : x
  2. Step 2: Convert to fraction form
    524,425.68/786,639.24 = 224,712/x
  3. Step 3: Cross multiply
    524,425.68x = 786,639.24 × 224,712
  4. Step 4: Simplify right side
    524,425.68x = 176,767,276,898.88
  5. Step 5: Solve for x
    x = 176,767,276,898.88/524,425.68
  6. Step 6: Final answer
    x = 337,068.31

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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.