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Finding the Fourth Proportional to 407,171.19, 610,562.35 and 238,742.80

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Solution

The fourth proportional to 407,171.19, 610,562.35 and 238,742.80 is: 358,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,171.19 : 610,562.35 = 238,742.80 : x
  2. Step 2: Convert to fraction form
    407,171.19/610,562.35 = 238,742.80/x
  3. Step 3: Cross multiply
    407,171.19x = 610,562.35 × 238,742.80
  4. Step 4: Simplify right side
    407,171.19x = 145,767,365,013.58
  5. Step 5: Solve for x
    x = 145,767,365,013.58/407,171.19
  6. Step 6: Final answer
    x = 358,000.19

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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.