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Finding the Fourth Proportional to 506,764.20, 759,708.90 and 257,446.20

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Solution

The fourth proportional to 506,764.20, 759,708.90 and 257,446.20 is: 385,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,764.20 : 759,708.90 = 257,446.20 : x
  2. Step 2: Convert to fraction form
    506,764.20/759,708.90 = 257,446.20/x
  3. Step 3: Cross multiply
    506,764.20x = 759,708.90 × 257,446.20
  4. Step 4: Simplify right side
    506,764.20x = 195,584,169,411.18
  5. Step 5: Solve for x
    x = 195,584,169,411.18/506,764.20
  6. Step 6: Final answer
    x = 385,947.09

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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.