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Finding the Fourth Proportional to 386,077.60, 578,655.60 and 161,437.60

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Solution

The fourth proportional to 386,077.60, 578,655.60 and 161,437.60 is: 241,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,077.60 : 578,655.60 = 161,437.60 : x
  2. Step 2: Convert to fraction form
    386,077.60/578,655.60 = 161,437.60/x
  3. Step 3: Cross multiply
    386,077.60x = 578,655.60 × 161,437.60
  4. Step 4: Simplify right side
    386,077.60x = 93,416,771,290.56
  5. Step 5: Solve for x
    x = 93,416,771,290.56/386,077.60
  6. Step 6: Final answer
    x = 241,963.72

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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.