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Finding the Fourth Proportional to 458,889.73, 688,263.51 and 234,416.05

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Solution

The fourth proportional to 458,889.73, 688,263.51 and 234,416.05 is: 351,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,889.73 : 688,263.51 = 234,416.05 : x
  2. Step 2: Convert to fraction form
    458,889.73/688,263.51 = 234,416.05/x
  3. Step 3: Cross multiply
    458,889.73x = 688,263.51 × 234,416.05
  4. Step 4: Simplify right side
    458,889.73x = 161,340,012,531.74
  5. Step 5: Solve for x
    x = 161,340,012,531.74/458,889.73
  6. Step 6: Final answer
    x = 351,587.76

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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.