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Finding the Fourth Proportional to 316,385.71, 473,823.78 and 202,174.54

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Solution

The fourth proportional to 316,385.71, 473,823.78 and 202,174.54 is: 302,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,385.71 : 473,823.78 = 202,174.54 : x
  2. Step 2: Convert to fraction form
    316,385.71/473,823.78 = 202,174.54/x
  3. Step 3: Cross multiply
    316,385.71x = 473,823.78 × 202,174.54
  4. Step 4: Simplify right side
    316,385.71x = 95,795,104,762.56
  5. Step 5: Solve for x
    x = 95,795,104,762.56/316,385.71
  6. Step 6: Final answer
    x = 302,779.49

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