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Finding the Fourth Proportional to 340,039.60, 509,281.80 and 173,633.20

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Solution

The fourth proportional to 340,039.60, 509,281.80 and 173,633.20 is: 260,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,039.60 : 509,281.80 = 173,633.20 : x
  2. Step 2: Convert to fraction form
    340,039.60/509,281.80 = 173,633.20/x
  3. Step 3: Cross multiply
    340,039.60x = 509,281.80 × 173,633.20
  4. Step 4: Simplify right side
    340,039.60x = 88,428,228,635.76
  5. Step 5: Solve for x
    x = 88,428,228,635.76/340,039.60
  6. Step 6: Final answer
    x = 260,052.74

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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.