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Finding the Fourth Proportional to 534,878.64, 802,354.88 and 155,802.53

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Solution

The fourth proportional to 534,878.64, 802,354.88 and 155,802.53 is: 233,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,878.64 : 802,354.88 = 155,802.53 : x
  2. Step 2: Convert to fraction form
    534,878.64/802,354.88 = 155,802.53/x
  3. Step 3: Cross multiply
    534,878.64x = 802,354.88 × 155,802.53
  4. Step 4: Simplify right side
    534,878.64x = 125,008,920,261.85
  5. Step 5: Solve for x
    x = 125,008,920,261.85/534,878.64
  6. Step 6: Final answer
    x = 233,714.55

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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.