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Finding the Fourth Proportional to 423,203.04, 584,032.56 and 232,228.56

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Solution

The fourth proportional to 423,203.04, 584,032.56 and 232,228.56 is: 320,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,203.04 : 584,032.56 = 232,228.56 : x
  2. Step 2: Convert to fraction form
    423,203.04/584,032.56 = 232,228.56/x
  3. Step 3: Cross multiply
    423,203.04x = 584,032.56 × 232,228.56
  4. Step 4: Simplify right side
    423,203.04x = 135,629,040,401.91
  5. Step 5: Solve for x
    x = 135,629,040,401.91/423,203.04
  6. Step 6: Final answer
    x = 320,482.20

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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.