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Finding the Fourth Proportional to 564,031.98, 845,964.72 and 164,565.54

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Solution

The fourth proportional to 564,031.98, 845,964.72 and 164,565.54 is: 246,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,031.98 : 845,964.72 = 164,565.54 : x
  2. Step 2: Convert to fraction form
    564,031.98/845,964.72 = 164,565.54/x
  3. Step 3: Cross multiply
    564,031.98x = 845,964.72 × 164,565.54
  4. Step 4: Simplify right side
    564,031.98x = 139,216,640,967.75
  5. Step 5: Solve for x
    x = 139,216,640,967.75/564,031.98
  6. Step 6: Final answer
    x = 246,824.02

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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.