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Finding the Fourth Proportional to 316,531.20, 473,875.20 and 307,315.20

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Solution

The fourth proportional to 316,531.20, 473,875.20 and 307,315.20 is: 460,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,531.20 : 473,875.20 = 307,315.20 : x
  2. Step 2: Convert to fraction form
    316,531.20/473,875.20 = 307,315.20/x
  3. Step 3: Cross multiply
    316,531.20x = 473,875.20 × 307,315.20
  4. Step 4: Simplify right side
    316,531.20x = 145,629,051,863.04
  5. Step 5: Solve for x
    x = 145,629,051,863.04/316,531.20
  6. Step 6: Final answer
    x = 460,078.03

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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.