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Finding the Fourth Proportional to 563,512.53, 845,407.21 and 164,156.82

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Solution

The fourth proportional to 563,512.53, 845,407.21 and 164,156.82 is: 246,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,512.53 : 845,407.21 = 164,156.82 : x
  2. Step 2: Convert to fraction form
    563,512.53/845,407.21 = 164,156.82/x
  3. Step 3: Cross multiply
    563,512.53x = 845,407.21 × 164,156.82
  4. Step 4: Simplify right side
    563,512.53x = 138,779,359,198.67
  5. Step 5: Solve for x
    x = 138,779,359,198.67/563,512.53
  6. Step 6: Final answer
    x = 246,275.55

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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.