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Finding the Fourth Proportional to 510,626, 765,938.52 and 229,815.12

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Solution

The fourth proportional to 510,626, 765,938.52 and 229,815.12 is: 344,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,626 : 765,938.52 = 229,815.12 : x
  2. Step 2: Convert to fraction form
    510,626/765,938.52 = 229,815.12/x
  3. Step 3: Cross multiply
    510,626x = 765,938.52 × 229,815.12
  4. Step 4: Simplify right side
    510,626x = 176,024,252,886.42
  5. Step 5: Solve for x
    x = 176,024,252,886.42/510,626
  6. Step 6: Final answer
    x = 344,722.46

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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.