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Finding the Fourth Proportional to 402,545.80, 603,818.70 and 165,809.80

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Solution

The fourth proportional to 402,545.80, 603,818.70 and 165,809.80 is: 248,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,545.80 : 603,818.70 = 165,809.80 : x
  2. Step 2: Convert to fraction form
    402,545.80/603,818.70 = 165,809.80/x
  3. Step 3: Cross multiply
    402,545.80x = 603,818.70 × 165,809.80
  4. Step 4: Simplify right side
    402,545.80x = 100,119,057,883.26
  5. Step 5: Solve for x
    x = 100,119,057,883.26/402,545.80
  6. Step 6: Final answer
    x = 248,714.70

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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.