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Finding the Fourth Proportional to 458,180.76, 687,106.44 and 158,580.12

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Solution

The fourth proportional to 458,180.76, 687,106.44 and 158,580.12 is: 237,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,180.76 : 687,106.44 = 158,580.12 : x
  2. Step 2: Convert to fraction form
    458,180.76/687,106.44 = 158,580.12/x
  3. Step 3: Cross multiply
    458,180.76x = 687,106.44 × 158,580.12
  4. Step 4: Simplify right side
    458,180.76x = 108,961,421,707.97
  5. Step 5: Solve for x
    x = 108,961,421,707.97/458,180.76
  6. Step 6: Final answer
    x = 237,813.18

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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.