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Finding the Fourth Proportional to 340,496.10, 510,744.15 and 314,908.20

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Solution

The fourth proportional to 340,496.10, 510,744.15 and 314,908.20 is: 472,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,496.10 : 510,744.15 = 314,908.20 : x
  2. Step 2: Convert to fraction form
    340,496.10/510,744.15 = 314,908.20/x
  3. Step 3: Cross multiply
    340,496.10x = 510,744.15 × 314,908.20
  4. Step 4: Simplify right side
    340,496.10x = 160,837,520,937.03
  5. Step 5: Solve for x
    x = 160,837,520,937.03/340,496.10
  6. Step 6: Final answer
    x = 472,362.30

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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.