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Finding the Fourth Proportional to 421,798.95, 582,117.03 and 240,567.66

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Solution

The fourth proportional to 421,798.95, 582,117.03 and 240,567.66 is: 332,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,798.95 : 582,117.03 = 240,567.66 : x
  2. Step 2: Convert to fraction form
    421,798.95/582,117.03 = 240,567.66/x
  3. Step 3: Cross multiply
    421,798.95x = 582,117.03 × 240,567.66
  4. Step 4: Simplify right side
    421,798.95x = 140,038,531,753.25
  5. Step 5: Solve for x
    x = 140,038,531,753.25/421,798.95
  6. Step 6: Final answer
    x = 332,003.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.