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Finding the Fourth Proportional to 423,255.30, 584,109.12 and 232,275.48

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Solution

The fourth proportional to 423,255.30, 584,109.12 and 232,275.48 is: 320,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,255.30 : 584,109.12 = 232,275.48 : x
  2. Step 2: Convert to fraction form
    423,255.30/584,109.12 = 232,275.48/x
  3. Step 3: Cross multiply
    423,255.30x = 584,109.12 × 232,275.48
  4. Step 4: Simplify right side
    423,255.30x = 135,674,226,220.38
  5. Step 5: Solve for x
    x = 135,674,226,220.38/423,255.30
  6. Step 6: Final answer
    x = 320,549.39

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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.