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Finding the Fourth Proportional to 340,614.20, 511,151.70 and 190,854.20

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Solution

The fourth proportional to 340,614.20, 511,151.70 and 190,854.20 is: 286,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,614.20 : 511,151.70 = 190,854.20 : x
  2. Step 2: Convert to fraction form
    340,614.20/511,151.70 = 190,854.20/x
  3. Step 3: Cross multiply
    340,614.20x = 511,151.70 × 190,854.20
  4. Step 4: Simplify right side
    340,614.20x = 97,555,448,782.14
  5. Step 5: Solve for x
    x = 97,555,448,782.14/340,614.20
  6. Step 6: Final answer
    x = 286,410.40

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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.