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Finding the Fourth Proportional to 386,958.40, 580,437.60 and 106,475.20

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Solution

The fourth proportional to 386,958.40, 580,437.60 and 106,475.20 is: 159,712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,958.40 : 580,437.60 = 106,475.20 : x
  2. Step 2: Convert to fraction form
    386,958.40/580,437.60 = 106,475.20/x
  3. Step 3: Cross multiply
    386,958.40x = 580,437.60 × 106,475.20
  4. Step 4: Simplify right side
    386,958.40x = 61,802,209,547.52
  5. Step 5: Solve for x
    x = 61,802,209,547.52/386,958.40
  6. Step 6: Final answer
    x = 159,712.80

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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.