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Finding the Fourth Proportional to 423,282.42, 634,758.24 and 153,346.48

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Solution

The fourth proportional to 423,282.42, 634,758.24 and 153,346.48 is: 229,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,282.42 : 634,758.24 = 153,346.48 : x
  2. Step 2: Convert to fraction form
    423,282.42/634,758.24 = 153,346.48/x
  3. Step 3: Cross multiply
    423,282.42x = 634,758.24 × 153,346.48
  4. Step 4: Simplify right side
    423,282.42x = 97,337,941,755.00
  5. Step 5: Solve for x
    x = 97,337,941,755.00/423,282.42
  6. Step 6: Final answer
    x = 229,959.80

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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.