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Finding the Fourth Proportional to 563,575.13, 845,411.90 and 142,851

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Solution

The fourth proportional to 563,575.13, 845,411.90 and 142,851 is: 214,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,575.13 : 845,411.90 = 142,851 : x
  2. Step 2: Convert to fraction form
    563,575.13/845,411.90 = 142,851/x
  3. Step 3: Cross multiply
    563,575.13x = 845,411.90 × 142,851
  4. Step 4: Simplify right side
    563,575.13x = 120,767,934,612.65
  5. Step 5: Solve for x
    x = 120,767,934,612.65/563,575.13
  6. Step 6: Final answer
    x = 214,288.97

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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.