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Finding the Fourth Proportional to 341,074.40, 512,732.84 and 316,412.33

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Solution

The fourth proportional to 341,074.40, 512,732.84 and 316,412.33 is: 475,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,074.40 : 512,732.84 = 316,412.33 : x
  2. Step 2: Convert to fraction form
    341,074.40/512,732.84 = 316,412.33/x
  3. Step 3: Cross multiply
    341,074.40x = 512,732.84 × 316,412.33
  4. Step 4: Simplify right side
    341,074.40x = 162,234,988,426.19
  5. Step 5: Solve for x
    x = 162,234,988,426.19/341,074.40
  6. Step 6: Final answer
    x = 475,658.66

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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.