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Finding the Fourth Proportional to 413,281.68, 570,182.04 and 270,124.38

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Solution

The fourth proportional to 413,281.68, 570,182.04 and 270,124.38 is: 372,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,281.68 : 570,182.04 = 270,124.38 : x
  2. Step 2: Convert to fraction form
    413,281.68/570,182.04 = 270,124.38/x
  3. Step 3: Cross multiply
    413,281.68x = 570,182.04 × 270,124.38
  4. Step 4: Simplify right side
    413,281.68x = 154,020,070,042.14
  5. Step 5: Solve for x
    x = 154,020,070,042.14/413,281.68
  6. Step 6: Final answer
    x = 372,675.77

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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.