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Finding the Fourth Proportional to 314,863.30, 473,216.55 and 274,312.90

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Solution

The fourth proportional to 314,863.30, 473,216.55 and 274,312.90 is: 412,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,863.30 : 473,216.55 = 274,312.90 : x
  2. Step 2: Convert to fraction form
    314,863.30/473,216.55 = 274,312.90/x
  3. Step 3: Cross multiply
    314,863.30x = 473,216.55 × 274,312.90
  4. Step 4: Simplify right side
    314,863.30x = 129,809,404,158.50
  5. Step 5: Solve for x
    x = 129,809,404,158.50/314,863.30
  6. Step 6: Final answer
    x = 412,272.26

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1.5x scale

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.