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Finding the Fourth Proportional to 534,762.60, 802,259.10 and 160,823.40

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Solution

The fourth proportional to 534,762.60, 802,259.10 and 160,823.40 is: 241,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,762.60 : 802,259.10 = 160,823.40 : x
  2. Step 2: Convert to fraction form
    534,762.60/802,259.10 = 160,823.40/x
  3. Step 3: Cross multiply
    534,762.60x = 802,259.10 × 160,823.40
  4. Step 4: Simplify right side
    534,762.60x = 129,022,036,142.94
  5. Step 5: Solve for x
    x = 129,022,036,142.94/534,762.60
  6. Step 6: Final answer
    x = 241,269.75

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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.