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Finding the Fourth Proportional to 386,205.12, 532,863 and 233,122.32

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Solution

The fourth proportional to 386,205.12, 532,863 and 233,122.32 is: 321,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,205.12 : 532,863 = 233,122.32 : x
  2. Step 2: Convert to fraction form
    386,205.12/532,863 = 233,122.32/x
  3. Step 3: Cross multiply
    386,205.12x = 532,863 × 233,122.32
  4. Step 4: Simplify right side
    386,205.12x = 124,222,258,802.16
  5. Step 5: Solve for x
    x = 124,222,258,802.16/386,205.12
  6. Step 6: Final answer
    x = 321,648.40

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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.