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Finding the Fourth Proportional to 406,382.32, 560,759.70 and 234,298.36

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Solution

The fourth proportional to 406,382.32, 560,759.70 and 234,298.36 is: 323,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,382.32 : 560,759.70 = 234,298.36 : x
  2. Step 2: Convert to fraction form
    406,382.32/560,759.70 = 234,298.36/x
  3. Step 3: Cross multiply
    406,382.32x = 560,759.70 × 234,298.36
  4. Step 4: Simplify right side
    406,382.32x = 131,385,078,064.09
  5. Step 5: Solve for x
    x = 131,385,078,064.09/406,382.32
  6. Step 6: Final answer
    x = 323,304.12

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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.