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Finding the Fourth Proportional to 515,854.97, 711,902.08 and 286,412.27

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Solution

The fourth proportional to 515,854.97, 711,902.08 and 286,412.27 is: 395,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,854.97 : 711,902.08 = 286,412.27 : x
  2. Step 2: Convert to fraction form
    515,854.97/711,902.08 = 286,412.27/x
  3. Step 3: Cross multiply
    515,854.97x = 711,902.08 × 286,412.27
  4. Step 4: Simplify right side
    515,854.97x = 203,897,487,549.03
  5. Step 5: Solve for x
    x = 203,897,487,549.03/515,854.97
  6. Step 6: Final answer
    x = 395,261.27

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1.5x scale

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.