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Finding the Fourth Proportional to 415,436.92, 573,319.66 and 234,156.40

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Solution

The fourth proportional to 415,436.92, 573,319.66 and 234,156.40 is: 323,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,436.92 : 573,319.66 = 234,156.40 : x
  2. Step 2: Convert to fraction form
    415,436.92/573,319.66 = 234,156.40/x
  3. Step 3: Cross multiply
    415,436.92x = 573,319.66 × 234,156.40
  4. Step 4: Simplify right side
    415,436.92x = 134,246,467,634.82
  5. Step 5: Solve for x
    x = 134,246,467,634.82/415,436.92
  6. Step 6: Final answer
    x = 323,145.25

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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.