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Finding the Fourth Proportional to 442,028.52, 610,001.84 and 258,277.88

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Solution

The fourth proportional to 442,028.52, 610,001.84 and 258,277.88 is: 356,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,028.52 : 610,001.84 = 258,277.88 : x
  2. Step 2: Convert to fraction form
    442,028.52/610,001.84 = 258,277.88/x
  3. Step 3: Cross multiply
    442,028.52x = 610,001.84 × 258,277.88
  4. Step 4: Simplify right side
    442,028.52x = 157,549,982,031.30
  5. Step 5: Solve for x
    x = 157,549,982,031.30/442,028.52
  6. Step 6: Final answer
    x = 356,424.92

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1.5x scale

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.