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Finding the Fourth Proportional to 524,148.52, 786,092.93 and 224,595.13

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Solution

The fourth proportional to 524,148.52, 786,092.93 and 224,595.13 is: 336,837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,148.52 : 786,092.93 = 224,595.13 : x
  2. Step 2: Convert to fraction form
    524,148.52/786,092.93 = 224,595.13/x
  3. Step 3: Cross multiply
    524,148.52x = 786,092.93 × 224,595.13
  4. Step 4: Simplify right side
    524,148.52x = 176,552,642,401.71
  5. Step 5: Solve for x
    x = 176,552,642,401.71/524,148.52
  6. Step 6: Final answer
    x = 336,837.05

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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.