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Finding the Fourth Proportional to 423,065.42, 583,827.10 and 232,077.54

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Solution

The fourth proportional to 423,065.42, 583,827.10 and 232,077.54 is: 320,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,065.42 : 583,827.10 = 232,077.54 : x
  2. Step 2: Convert to fraction form
    423,065.42/583,827.10 = 232,077.54/x
  3. Step 3: Cross multiply
    423,065.42x = 583,827.10 × 232,077.54
  4. Step 4: Simplify right side
    423,065.42x = 135,493,157,153.33
  5. Step 5: Solve for x
    x = 135,493,157,153.33/423,065.42
  6. Step 6: Final answer
    x = 320,265.26

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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.