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Finding the Fourth Proportional to 416,158.84, 574,301.14 and 234,878.36

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Solution

The fourth proportional to 416,158.84, 574,301.14 and 234,878.36 is: 324,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,158.84 : 574,301.14 = 234,878.36 : x
  2. Step 2: Convert to fraction form
    416,158.84/574,301.14 = 234,878.36/x
  3. Step 3: Cross multiply
    416,158.84x = 574,301.14 × 234,878.36
  4. Step 4: Simplify right side
    416,158.84x = 134,890,909,909.33
  5. Step 5: Solve for x
    x = 134,890,909,909.33/416,158.84
  6. Step 6: Final answer
    x = 324,133.23

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1.5x scale

Why These Related Problems?

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