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Finding the Fourth Proportional to 342,001.80, 513,002.70 and 314,008.20

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Solution

The fourth proportional to 342,001.80, 513,002.70 and 314,008.20 is: 471,012.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.80 : 513,002.70 = 314,008.20 : x
  2. Step 2: Convert to fraction form
    342,001.80/513,002.70 = 314,008.20/x
  3. Step 3: Cross multiply
    342,001.80x = 513,002.70 × 314,008.20
  4. Step 4: Simplify right side
    342,001.80x = 161,087,054,422.14
  5. Step 5: Solve for x
    x = 161,087,054,422.14/342,001.80
  6. Step 6: Final answer
    x = 471,012.30

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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.