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Finding the Fourth Proportional to 423,436.52, 584,344.86 and 232,451.48

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Solution

The fourth proportional to 423,436.52, 584,344.86 and 232,451.48 is: 320,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,436.52 : 584,344.86 = 232,451.48 : x
  2. Step 2: Convert to fraction form
    423,436.52/584,344.86 = 232,451.48/x
  3. Step 3: Cross multiply
    423,436.52x = 584,344.86 × 232,451.48
  4. Step 4: Simplify right side
    423,436.52x = 135,831,827,537.39
  5. Step 5: Solve for x
    x = 135,831,827,537.39/423,436.52
  6. Step 6: Final answer
    x = 320,784.39

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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.