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Finding the Fourth Proportional to 415,434.92, 573,316.90 and 234,154.40

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Solution

The fourth proportional to 415,434.92, 573,316.90 and 234,154.40 is: 323,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,434.92 : 573,316.90 = 234,154.40 : x
  2. Step 2: Convert to fraction form
    415,434.92/573,316.90 = 234,154.40/x
  3. Step 3: Cross multiply
    415,434.92x = 573,316.90 × 234,154.40
  4. Step 4: Simplify right side
    415,434.92x = 134,244,674,729.36
  5. Step 5: Solve for x
    x = 134,244,674,729.36/415,434.92
  6. Step 6: Final answer
    x = 323,142.49

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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.