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Finding the Fourth Proportional to 534,838.60, 802,257.90 and 456,106.60

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Solution

The fourth proportional to 534,838.60, 802,257.90 and 456,106.60 is: 684,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,838.60 : 802,257.90 = 456,106.60 : x
  2. Step 2: Convert to fraction form
    534,838.60/802,257.90 = 456,106.60/x
  3. Step 3: Cross multiply
    534,838.60x = 802,257.90 × 456,106.60
  4. Step 4: Simplify right side
    534,838.60x = 365,915,123,092.14
  5. Step 5: Solve for x
    x = 365,915,123,092.14/534,838.60
  6. Step 6: Final answer
    x = 684,159.90

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Similar ratio
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1.5x scale

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.