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Finding the Fourth Proportional to 343,409.60, 473,917.56 and 200,146.52

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Solution

The fourth proportional to 343,409.60, 473,917.56 and 200,146.52 is: 276,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,409.60 : 473,917.56 = 200,146.52 : x
  2. Step 2: Convert to fraction form
    343,409.60/473,917.56 = 200,146.52/x
  3. Step 3: Cross multiply
    343,409.60x = 473,917.56 × 200,146.52
  4. Step 4: Simplify right side
    343,409.60x = 94,852,950,400.89
  5. Step 5: Solve for x
    x = 94,852,950,400.89/343,409.60
  6. Step 6: Final answer
    x = 276,209.37

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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.