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Finding the Fourth Proportional to 423,281.56, 584,135.67 and 232,312.72

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Solution

The fourth proportional to 423,281.56, 584,135.67 and 232,312.72 is: 320,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,281.56 : 584,135.67 = 232,312.72 : x
  2. Step 2: Convert to fraction form
    423,281.56/584,135.67 = 232,312.72/x
  3. Step 3: Cross multiply
    423,281.56x = 584,135.67 × 232,312.72
  4. Step 4: Simplify right side
    423,281.56x = 135,702,145,757.56
  5. Step 5: Solve for x
    x = 135,702,145,757.56/423,281.56
  6. Step 6: Final answer
    x = 320,595.46

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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.