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Finding the Fourth Proportional to 415,538.40, 573,448.06 and 234,250.40

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Solution

The fourth proportional to 415,538.40, 573,448.06 and 234,250.40 is: 323,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,538.40 : 573,448.06 = 234,250.40 : x
  2. Step 2: Convert to fraction form
    415,538.40/573,448.06 = 234,250.40/x
  3. Step 3: Cross multiply
    415,538.40x = 573,448.06 × 234,250.40
  4. Step 4: Simplify right side
    415,538.40x = 134,330,437,434.22
  5. Step 5: Solve for x
    x = 134,330,437,434.22/415,538.40
  6. Step 6: Final answer
    x = 323,268.41

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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.