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Finding the Fourth Proportional to 561,311.84, 841,866.24 and 161,854.40

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Solution

The fourth proportional to 561,311.84, 841,866.24 and 161,854.40 is: 242,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,311.84 : 841,866.24 = 161,854.40 : x
  2. Step 2: Convert to fraction form
    561,311.84/841,866.24 = 161,854.40/x
  3. Step 3: Cross multiply
    561,311.84x = 841,866.24 × 161,854.40
  4. Step 4: Simplify right side
    561,311.84x = 136,259,755,155.46
  5. Step 5: Solve for x
    x = 136,259,755,155.46/561,311.84
  6. Step 6: Final answer
    x = 242,752.33

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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.