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Finding the Fourth Proportional to 561,881.16, 842,695.32 and 162,432.96

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Solution

The fourth proportional to 561,881.16, 842,695.32 and 162,432.96 is: 243,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,881.16 : 842,695.32 = 162,432.96 : x
  2. Step 2: Convert to fraction form
    561,881.16/842,695.32 = 162,432.96/x
  3. Step 3: Cross multiply
    561,881.16x = 842,695.32 × 162,432.96
  4. Step 4: Simplify right side
    561,881.16x = 136,881,495,205.75
  5. Step 5: Solve for x
    x = 136,881,495,205.75/561,881.16
  6. Step 6: Final answer
    x = 243,612.89

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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.