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Finding the Fourth Proportional to 423,513.14, 584,449.11 and 232,538.84

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Solution

The fourth proportional to 423,513.14, 584,449.11 and 232,538.84 is: 320,904.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,513.14 : 584,449.11 = 232,538.84 : x
  2. Step 2: Convert to fraction form
    423,513.14/584,449.11 = 232,538.84/x
  3. Step 3: Cross multiply
    423,513.14x = 584,449.11 × 232,538.84
  4. Step 4: Simplify right side
    423,513.14x = 135,907,115,156.19
  5. Step 5: Solve for x
    x = 135,907,115,156.19/423,513.14
  6. Step 6: Final answer
    x = 320,904.13

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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.