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Finding the Fourth Proportional to 289,468.01, 398,574.17 and 257,146.58

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Solution

The fourth proportional to 289,468.01, 398,574.17 and 257,146.58 is: 354,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,468.01 : 398,574.17 = 257,146.58 : x
  2. Step 2: Convert to fraction form
    289,468.01/398,574.17 = 257,146.58/x
  3. Step 3: Cross multiply
    289,468.01x = 398,574.17 × 257,146.58
  4. Step 4: Simplify right side
    289,468.01x = 102,491,981,413.24
  5. Step 5: Solve for x
    x = 102,491,981,413.24/289,468.01
  6. Step 6: Final answer
    x = 354,070.16

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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.