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Finding the Fourth Proportional to 390,225.67, 585,439.50 and 120,347.84

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Solution

The fourth proportional to 390,225.67, 585,439.50 and 120,347.84 is: 180,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,225.67 : 585,439.50 = 120,347.84 : x
  2. Step 2: Convert to fraction form
    390,225.67/585,439.50 = 120,347.84/x
  3. Step 3: Cross multiply
    390,225.67x = 585,439.50 × 120,347.84
  4. Step 4: Simplify right side
    390,225.67x = 70,456,381,190.58
  5. Step 5: Solve for x
    x = 70,456,381,190.58/390,225.67
  6. Step 6: Final answer
    x = 180,552.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.