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Finding the Fourth Proportional to 413,359.65, 620,177.44 and 160,648.15

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Solution

The fourth proportional to 413,359.65, 620,177.44 and 160,648.15 is: 241,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,359.65 : 620,177.44 = 160,648.15 : x
  2. Step 2: Convert to fraction form
    413,359.65/620,177.44 = 160,648.15/x
  3. Step 3: Cross multiply
    413,359.65x = 620,177.44 × 160,648.15
  4. Step 4: Simplify right side
    413,359.65x = 99,630,358,407.74
  5. Step 5: Solve for x
    x = 99,630,358,407.74/413,359.65
  6. Step 6: Final answer
    x = 241,025.84

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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.