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Finding the Fourth Proportional to 370,242, 510,934.36 and 200,475.72

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Solution

The fourth proportional to 370,242, 510,934.36 and 200,475.72 is: 276,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,242 : 510,934.36 = 200,475.72 : x
  2. Step 2: Convert to fraction form
    370,242/510,934.36 = 200,475.72/x
  3. Step 3: Cross multiply
    370,242x = 510,934.36 × 200,475.72
  4. Step 4: Simplify right side
    370,242x = 102,429,933,693.74
  5. Step 5: Solve for x
    x = 102,429,933,693.74/370,242
  6. Step 6: Final answer
    x = 276,656.71

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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.