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Finding the Fourth Proportional to 316,385.21, 473,823.03 and 202,174.04

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Solution

The fourth proportional to 316,385.21, 473,823.03 and 202,174.04 is: 302,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,385.21 : 473,823.03 = 202,174.04 : x
  2. Step 2: Convert to fraction form
    316,385.21/473,823.03 = 202,174.04/x
  3. Step 3: Cross multiply
    316,385.21x = 473,823.03 × 202,174.04
  4. Step 4: Simplify right side
    316,385.21x = 95,794,716,220.14
  5. Step 5: Solve for x
    x = 95,794,716,220.14/316,385.21
  6. Step 6: Final answer
    x = 302,778.74

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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.