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Finding the Fourth Proportional to 407,530.40, 611,587.20 and 171,042.80

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Solution

The fourth proportional to 407,530.40, 611,587.20 and 171,042.80 is: 256,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,530.40 : 611,587.20 = 171,042.80 : x
  2. Step 2: Convert to fraction form
    407,530.40/611,587.20 = 171,042.80/x
  3. Step 3: Cross multiply
    407,530.40x = 611,587.20 × 171,042.80
  4. Step 4: Simplify right side
    407,530.40x = 104,607,587,132.16
  5. Step 5: Solve for x
    x = 104,607,587,132.16/407,530.40
  6. Step 6: Final answer
    x = 256,686.59

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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.