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Finding the Fourth Proportional to 561,534, 842,061.24 and 325,039.92

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Solution

The fourth proportional to 561,534, 842,061.24 and 325,039.92 is: 487,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,534 : 842,061.24 = 325,039.92 : x
  2. Step 2: Convert to fraction form
    561,534/842,061.24 = 325,039.92/x
  3. Step 3: Cross multiply
    561,534x = 842,061.24 × 325,039.92
  4. Step 4: Simplify right side
    561,534x = 273,703,518,084.70
  5. Step 5: Solve for x
    x = 273,703,518,084.70/561,534
  6. Step 6: Final answer
    x = 487,421.10

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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.