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Finding the Fourth Proportional to 534,057.36, 801,217.08 and 160,080

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Solution

The fourth proportional to 534,057.36, 801,217.08 and 160,080 is: 240,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,057.36 : 801,217.08 = 160,080 : x
  2. Step 2: Convert to fraction form
    534,057.36/801,217.08 = 160,080/x
  3. Step 3: Cross multiply
    534,057.36x = 801,217.08 × 160,080
  4. Step 4: Simplify right side
    534,057.36x = 128,258,830,166.40
  5. Step 5: Solve for x
    x = 128,258,830,166.40/534,057.36
  6. Step 6: Final answer
    x = 240,159.28

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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.