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Finding the Fourth Proportional to 522,809.18, 784,545.24 and 223,291.33

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Solution

The fourth proportional to 522,809.18, 784,545.24 and 223,291.33 is: 335,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,809.18 : 784,545.24 = 223,291.33 : x
  2. Step 2: Convert to fraction form
    522,809.18/784,545.24 = 223,291.33/x
  3. Step 3: Cross multiply
    522,809.18x = 784,545.24 × 223,291.33
  4. Step 4: Simplify right side
    522,809.18x = 175,182,153,373.82
  5. Step 5: Solve for x
    x = 175,182,153,373.82/522,809.18
  6. Step 6: Final answer
    x = 335,078.57

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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.