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Finding the Fourth Proportional to 257,690.58, 355,612.32 and 144,515.76

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Solution

The fourth proportional to 257,690.58, 355,612.32 and 144,515.76 is: 199,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,690.58 : 355,612.32 = 144,515.76 : x
  2. Step 2: Convert to fraction form
    257,690.58/355,612.32 = 144,515.76/x
  3. Step 3: Cross multiply
    257,690.58x = 355,612.32 × 144,515.76
  4. Step 4: Simplify right side
    257,690.58x = 51,391,584,690.16
  5. Step 5: Solve for x
    x = 51,391,584,690.16/257,690.58
  6. Step 6: Final answer
    x = 199,431.37

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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.