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Finding the Fourth Proportional to 415,382.10, 573,261 and 234,106.32

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Solution

The fourth proportional to 415,382.10, 573,261 and 234,106.32 is: 323,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,382.10 : 573,261 = 234,106.32 : x
  2. Step 2: Convert to fraction form
    415,382.10/573,261 = 234,106.32/x
  3. Step 3: Cross multiply
    415,382.10x = 573,261 × 234,106.32
  4. Step 4: Simplify right side
    415,382.10x = 134,204,023,109.52
  5. Step 5: Solve for x
    x = 134,204,023,109.52/415,382.10
  6. Step 6: Final answer
    x = 323,085.72

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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.