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Finding the Fourth Proportional to 422,315.82, 633,567.15 and 232,678.53

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Solution

The fourth proportional to 422,315.82, 633,567.15 and 232,678.53 is: 349,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,315.82 : 633,567.15 = 232,678.53 : x
  2. Step 2: Convert to fraction form
    422,315.82/633,567.15 = 232,678.53/x
  3. Step 3: Cross multiply
    422,315.82x = 633,567.15 × 232,678.53
  4. Step 4: Simplify right side
    422,315.82x = 147,417,473,118.29
  5. Step 5: Solve for x
    x = 147,417,473,118.29/422,315.82
  6. Step 6: Final answer
    x = 349,069.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.