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Finding the Fourth Proportional to 423,642.54, 584,638.65 and 232,668.23

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Solution

The fourth proportional to 423,642.54, 584,638.65 and 232,668.23 is: 321,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,642.54 : 584,638.65 = 232,668.23 : x
  2. Step 2: Convert to fraction form
    423,642.54/584,638.65 = 232,668.23/x
  3. Step 3: Cross multiply
    423,642.54x = 584,638.65 × 232,668.23
  4. Step 4: Simplify right side
    423,642.54x = 136,026,836,961.90
  5. Step 5: Solve for x
    x = 136,026,836,961.90/423,642.54
  6. Step 6: Final answer
    x = 321,088.71

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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.