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Finding the Fourth Proportional to 506,508.57, 758,384.10 and 356,524.11

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Solution

The fourth proportional to 506,508.57, 758,384.10 and 356,524.11 is: 533,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,508.57 : 758,384.10 = 356,524.11 : x
  2. Step 2: Convert to fraction form
    506,508.57/758,384.10 = 356,524.11/x
  3. Step 3: Cross multiply
    506,508.57x = 758,384.10 × 356,524.11
  4. Step 4: Simplify right side
    506,508.57x = 270,382,216,290.65
  5. Step 5: Solve for x
    x = 270,382,216,290.65/506,508.57
  6. Step 6: Final answer
    x = 533,815.68

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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.