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Finding the Fourth Proportional to 423,829.71, 584,885.21 and 232,855.38

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Solution

The fourth proportional to 423,829.71, 584,885.21 and 232,855.38 is: 321,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,829.71 : 584,885.21 = 232,855.38 : x
  2. Step 2: Convert to fraction form
    423,829.71/584,885.21 = 232,855.38/x
  3. Step 3: Cross multiply
    423,829.71x = 584,885.21 × 232,855.38
  4. Step 4: Simplify right side
    423,829.71x = 136,193,666,666.65
  5. Step 5: Solve for x
    x = 136,193,666,666.65/423,829.71
  6. Step 6: Final answer
    x = 321,340.54

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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.