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Finding the Fourth Proportional to 370,505.62, 511,291.07 and 209,357.20

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Solution

The fourth proportional to 370,505.62, 511,291.07 and 209,357.20 is: 288,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,505.62 : 511,291.07 = 209,357.20 : x
  2. Step 2: Convert to fraction form
    370,505.62/511,291.07 = 209,357.20/x
  3. Step 3: Cross multiply
    370,505.62x = 511,291.07 × 209,357.20
  4. Step 4: Simplify right side
    370,505.62x = 107,042,464,243.75
  5. Step 5: Solve for x
    x = 107,042,464,243.75/370,505.62
  6. Step 6: Final answer
    x = 288,909.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.