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Finding the Fourth Proportional to 460,993.50, 636,124.32 and 257,025.06

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Solution

The fourth proportional to 460,993.50, 636,124.32 and 257,025.06 is: 354,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,993.50 : 636,124.32 = 257,025.06 : x
  2. Step 2: Convert to fraction form
    460,993.50/636,124.32 = 257,025.06/x
  3. Step 3: Cross multiply
    460,993.50x = 636,124.32 × 257,025.06
  4. Step 4: Simplify right side
    460,993.50x = 163,499,891,515.46
  5. Step 5: Solve for x
    x = 163,499,891,515.46/460,993.50
  6. Step 6: Final answer
    x = 354,668.54

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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.