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Finding the Fourth Proportional to 524,324.16, 786,503.66 and 145,248.71

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Solution

The fourth proportional to 524,324.16, 786,503.66 and 145,248.71 is: 217,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,324.16 : 786,503.66 = 145,248.71 : x
  2. Step 2: Convert to fraction form
    524,324.16/786,503.66 = 145,248.71/x
  3. Step 3: Cross multiply
    524,324.16x = 786,503.66 × 145,248.71
  4. Step 4: Simplify right side
    524,324.16x = 114,238,637,366.52
  5. Step 5: Solve for x
    x = 114,238,637,366.52/524,324.16
  6. Step 6: Final answer
    x = 217,877.88

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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.