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Finding the Fourth Proportional to 416,482.16, 574,734.84 and 232,722.32

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Solution

The fourth proportional to 416,482.16, 574,734.84 and 232,722.32 is: 321,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,482.16 : 574,734.84 = 232,722.32 : x
  2. Step 2: Convert to fraction form
    416,482.16/574,734.84 = 232,722.32/x
  3. Step 3: Cross multiply
    416,482.16x = 574,734.84 × 232,722.32
  4. Step 4: Simplify right side
    416,482.16x = 133,753,625,349.63
  5. Step 5: Solve for x
    x = 133,753,625,349.63/416,482.16
  6. Step 6: Final answer
    x = 321,150.91

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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.