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Finding the Fourth Proportional to 415,733.80, 573,709.08 and 224,745.52

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Solution

The fourth proportional to 415,733.80, 573,709.08 and 224,745.52 is: 310,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,733.80 : 573,709.08 = 224,745.52 : x
  2. Step 2: Convert to fraction form
    415,733.80/573,709.08 = 224,745.52/x
  3. Step 3: Cross multiply
    415,733.80x = 573,709.08 × 224,745.52
  4. Step 4: Simplify right side
    415,733.80x = 128,938,545,513.32
  5. Step 5: Solve for x
    x = 128,938,545,513.32/415,733.80
  6. Step 6: Final answer
    x = 310,146.89

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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.