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Finding the Fourth Proportional to 458,284.66, 687,262.96 and 158,684.80

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Solution

The fourth proportional to 458,284.66, 687,262.96 and 158,684.80 is: 237,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,284.66 : 687,262.96 = 158,684.80 : x
  2. Step 2: Convert to fraction form
    458,284.66/687,262.96 = 158,684.80/x
  3. Step 3: Cross multiply
    458,284.66x = 687,262.96 × 158,684.80
  4. Step 4: Simplify right side
    458,284.66x = 109,058,185,355.01
  5. Step 5: Solve for x
    x = 109,058,185,355.01/458,284.66
  6. Step 6: Final answer
    x = 237,970.40

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1.5x scale

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.