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Finding the Fourth Proportional to 402,016.60, 562,123.40 and 402,016.60

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Solution

The fourth proportional to 402,016.60, 562,123.40 and 402,016.60 is: 562,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,016.60 : 562,123.40 = 402,016.60 : x
  2. Step 2: Convert to fraction form
    402,016.60/562,123.40 = 402,016.60/x
  3. Step 3: Cross multiply
    402,016.60x = 562,123.40 × 402,016.60
  4. Step 4: Simplify right side
    402,016.60x = 225,982,938,048.44
  5. Step 5: Solve for x
    x = 225,982,938,048.44/402,016.60
  6. Step 6: Final answer
    x = 562,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.