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Finding the Fourth Proportional to 420,530.74, 580,312.15 and 239,225.60

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Solution

The fourth proportional to 420,530.74, 580,312.15 and 239,225.60 is: 330,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,530.74 : 580,312.15 = 239,225.60 : x
  2. Step 2: Convert to fraction form
    420,530.74/580,312.15 = 239,225.60/x
  3. Step 3: Cross multiply
    420,530.74x = 580,312.15 × 239,225.60
  4. Step 4: Simplify right side
    420,530.74x = 138,825,523,123.76
  5. Step 5: Solve for x
    x = 138,825,523,123.76/420,530.74
  6. Step 6: Final answer
    x = 330,119.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.