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Finding the Fourth Proportional to 496,235.92, 744,242.10 and 141,242.08

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Solution

The fourth proportional to 496,235.92, 744,242.10 and 141,242.08 is: 211,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,235.92 : 744,242.10 = 141,242.08 : x
  2. Step 2: Convert to fraction form
    496,235.92/744,242.10 = 141,242.08/x
  3. Step 3: Cross multiply
    496,235.92x = 744,242.10 × 141,242.08
  4. Step 4: Simplify right side
    496,235.92x = 105,118,302,227.57
  5. Step 5: Solve for x
    x = 105,118,302,227.57/496,235.92
  6. Step 6: Final answer
    x = 211,831.30

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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.