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Finding the Fourth Proportional to 458,079.84, 632,150.33 and 256,875.84

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Solution

The fourth proportional to 458,079.84, 632,150.33 and 256,875.84 is: 354,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,079.84 : 632,150.33 = 256,875.84 : x
  2. Step 2: Convert to fraction form
    458,079.84/632,150.33 = 256,875.84/x
  3. Step 3: Cross multiply
    458,079.84x = 632,150.33 × 256,875.84
  4. Step 4: Simplify right side
    458,079.84x = 162,384,145,740.65
  5. Step 5: Solve for x
    x = 162,384,145,740.65/458,079.84
  6. Step 6: Final answer
    x = 354,488.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.