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Finding the Fourth Proportional to 711,877.83, 982,383.98 and 406,004.01

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Solution

The fourth proportional to 711,877.83, 982,383.98 and 406,004.01 is: 560,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,877.83 : 982,383.98 = 406,004.01 : x
  2. Step 2: Convert to fraction form
    711,877.83/982,383.98 = 406,004.01/x
  3. Step 3: Cross multiply
    711,877.83x = 982,383.98 × 406,004.01
  4. Step 4: Simplify right side
    711,877.83x = 398,851,833,209.74
  5. Step 5: Solve for x
    x = 398,851,833,209.74/711,877.83
  6. Step 6: Final answer
    x = 560,281.30

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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.