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Finding the Fourth Proportional to 423,642.67, 584,633.90 and 230,050.78

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Solution

The fourth proportional to 423,642.67, 584,633.90 and 230,050.78 is: 317,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,642.67 : 584,633.90 = 230,050.78 : x
  2. Step 2: Convert to fraction form
    423,642.67/584,633.90 = 230,050.78/x
  3. Step 3: Cross multiply
    423,642.67x = 584,633.90 × 230,050.78
  4. Step 4: Simplify right side
    423,642.67x = 134,495,483,822.98
  5. Step 5: Solve for x
    x = 134,495,483,822.98/423,642.67
  6. Step 6: Final answer
    x = 317,473.89

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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.