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Finding the Fourth Proportional to 423,473.21, 584,385.76 and 232,485.24

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Solution

The fourth proportional to 423,473.21, 584,385.76 and 232,485.24 is: 320,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,473.21 : 584,385.76 = 232,485.24 : x
  2. Step 2: Convert to fraction form
    423,473.21/584,385.76 = 232,485.24/x
  3. Step 3: Cross multiply
    423,473.21x = 584,385.76 × 232,485.24
  4. Step 4: Simplify right side
    423,473.21x = 135,861,063,514.93
  5. Step 5: Solve for x
    x = 135,861,063,514.93/423,473.21
  6. Step 6: Final answer
    x = 320,825.64

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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.