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Finding the Fourth Proportional to 563,833.71, 845,753.40 and 143,109.72

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Solution

The fourth proportional to 563,833.71, 845,753.40 and 143,109.72 is: 214,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,833.71 : 845,753.40 = 143,109.72 : x
  2. Step 2: Convert to fraction form
    563,833.71/845,753.40 = 143,109.72/x
  3. Step 3: Cross multiply
    563,833.71x = 845,753.40 × 143,109.72
  4. Step 4: Simplify right side
    563,833.71x = 121,035,532,263.05
  5. Step 5: Solve for x
    x = 121,035,532,263.05/563,833.71
  6. Step 6: Final answer
    x = 214,665.30

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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.