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Finding the Fourth Proportional to 415,715.63, 573,646.98 and 241,258.71

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Solution

The fourth proportional to 415,715.63, 573,646.98 and 241,258.71 is: 332,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,715.63 : 573,646.98 = 241,258.71 : x
  2. Step 2: Convert to fraction form
    415,715.63/573,646.98 = 241,258.71/x
  3. Step 3: Cross multiply
    415,715.63x = 573,646.98 × 241,258.71
  4. Step 4: Simplify right side
    415,715.63x = 138,397,330,390.20
  5. Step 5: Solve for x
    x = 138,397,330,390.20/415,715.63
  6. Step 6: Final answer
    x = 332,913.46

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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.