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Finding the Fourth Proportional to 314,720.80, 473,002.80 and 274,170.40

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Solution

The fourth proportional to 314,720.80, 473,002.80 and 274,170.40 is: 412,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720.80 : 473,002.80 = 274,170.40 : x
  2. Step 2: Convert to fraction form
    314,720.80/473,002.80 = 274,170.40/x
  3. Step 3: Cross multiply
    314,720.80x = 473,002.80 × 274,170.40
  4. Step 4: Simplify right side
    314,720.80x = 129,683,366,877.12
  5. Step 5: Solve for x
    x = 129,683,366,877.12/314,720.80
  6. Step 6: Final answer
    x = 412,058.46

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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.