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Finding the Fourth Proportional to 346,033.48, 477,492.42 and 200,816.68

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Solution

The fourth proportional to 346,033.48, 477,492.42 and 200,816.68 is: 277,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,033.48 : 477,492.42 = 200,816.68 : x
  2. Step 2: Convert to fraction form
    346,033.48/477,492.42 = 200,816.68/x
  3. Step 3: Cross multiply
    346,033.48x = 477,492.42 × 200,816.68
  4. Step 4: Simplify right side
    346,033.48x = 95,888,442,509.57
  5. Step 5: Solve for x
    x = 95,888,442,509.57/346,033.48
  6. Step 6: Final answer
    x = 277,107.41

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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.