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Finding the Fourth Proportional to 360,831.16, 497,934.64 and 199,693

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Solution

The fourth proportional to 360,831.16, 497,934.64 and 199,693 is: 275,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,831.16 : 497,934.64 = 199,693 : x
  2. Step 2: Convert to fraction form
    360,831.16/497,934.64 = 199,693/x
  3. Step 3: Cross multiply
    360,831.16x = 497,934.64 × 199,693
  4. Step 4: Simplify right side
    360,831.16x = 99,434,062,065.52
  5. Step 5: Solve for x
    x = 99,434,062,065.52/360,831.16
  6. Step 6: Final answer
    x = 275,569.50

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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.