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Finding the Fourth Proportional to 534,878.15, 802,354.13 and 155,802.03

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Solution

The fourth proportional to 534,878.15, 802,354.13 and 155,802.03 is: 233,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,878.15 : 802,354.13 = 155,802.03 : x
  2. Step 2: Convert to fraction form
    534,878.15/802,354.13 = 155,802.03/x
  3. Step 3: Cross multiply
    534,878.15x = 802,354.13 × 155,802.03
  4. Step 4: Simplify right side
    534,878.15x = 125,008,398,221.11
  5. Step 5: Solve for x
    x = 125,008,398,221.11/534,878.15
  6. Step 6: Final answer
    x = 233,713.79

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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.