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Finding the Fourth Proportional to 370,132.90, 510,813.57 and 209,027.14

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Solution

The fourth proportional to 370,132.90, 510,813.57 and 209,027.14 is: 288,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,132.90 : 510,813.57 = 209,027.14 : x
  2. Step 2: Convert to fraction form
    370,132.90/510,813.57 = 209,027.14/x
  3. Step 3: Cross multiply
    370,132.90x = 510,813.57 × 209,027.14
  4. Step 4: Simplify right side
    370,132.90x = 106,773,899,610.29
  5. Step 5: Solve for x
    x = 106,773,899,610.29/370,132.90
  6. Step 6: Final answer
    x = 288,474.49

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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.