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Finding the Fourth Proportional to 475,726.80, 656,502.66 and 260,870.34

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Solution

The fourth proportional to 475,726.80, 656,502.66 and 260,870.34 is: 360,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,726.80 : 656,502.66 = 260,870.34 : x
  2. Step 2: Convert to fraction form
    475,726.80/656,502.66 = 260,870.34/x
  3. Step 3: Cross multiply
    475,726.80x = 656,502.66 × 260,870.34
  4. Step 4: Simplify right side
    475,726.80x = 171,262,072,125.10
  5. Step 5: Solve for x
    x = 171,262,072,125.10/475,726.80
  6. Step 6: Final answer
    x = 360,000.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.