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Finding the Fourth Proportional to 503,490.55, 694,334 and 338,292.11

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Solution

The fourth proportional to 503,490.55, 694,334 and 338,292.11 is: 466,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,490.55 : 694,334 = 338,292.11 : x
  2. Step 2: Convert to fraction form
    503,490.55/694,334 = 338,292.11/x
  3. Step 3: Cross multiply
    503,490.55x = 694,334 × 338,292.11
  4. Step 4: Simplify right side
    503,490.55x = 234,887,713,904.74
  5. Step 5: Solve for x
    x = 234,887,713,904.74/503,490.55
  6. Step 6: Final answer
    x = 466,518.61

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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.