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Finding the Fourth Proportional to 561,871.82, 842,632.04 and 187,807.34

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Solution

The fourth proportional to 561,871.82, 842,632.04 and 187,807.34 is: 281,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,871.82 : 842,632.04 = 187,807.34 : x
  2. Step 2: Convert to fraction form
    561,871.82/842,632.04 = 187,807.34/x
  3. Step 3: Cross multiply
    561,871.82x = 842,632.04 × 187,807.34
  4. Step 4: Simplify right side
    561,871.82x = 158,252,482,031.17
  5. Step 5: Solve for x
    x = 158,252,482,031.17/561,871.82
  6. Step 6: Final answer
    x = 281,652.29

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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.