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Finding the Fourth Proportional to 370,032.94, 510,645.47 and 200,267.07

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Solution

The fourth proportional to 370,032.94, 510,645.47 and 200,267.07 is: 276,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,032.94 : 510,645.47 = 200,267.07 : x
  2. Step 2: Convert to fraction form
    370,032.94/510,645.47 = 200,267.07/x
  3. Step 3: Cross multiply
    370,032.94x = 510,645.47 × 200,267.07
  4. Step 4: Simplify right side
    370,032.94x = 102,265,469,169.42
  5. Step 5: Solve for x
    x = 102,265,469,169.42/370,032.94
  6. Step 6: Final answer
    x = 276,368.55

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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.