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Finding the Fourth Proportional to 302,585.40, 453,878.10 and 196,831.80

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Solution

The fourth proportional to 302,585.40, 453,878.10 and 196,831.80 is: 295,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,585.40 : 453,878.10 = 196,831.80 : x
  2. Step 2: Convert to fraction form
    302,585.40/453,878.10 = 196,831.80/x
  3. Step 3: Cross multiply
    302,585.40x = 453,878.10 × 196,831.80
  4. Step 4: Simplify right side
    302,585.40x = 89,337,643,403.58
  5. Step 5: Solve for x
    x = 89,337,643,403.58/302,585.40
  6. Step 6: Final answer
    x = 295,247.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.