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Finding the Fourth Proportional to 344,931.80, 476,062.80 and 201,664.40

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Solution

The fourth proportional to 344,931.80, 476,062.80 and 201,664.40 is: 278,330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,931.80 : 476,062.80 = 201,664.40 : x
  2. Step 2: Convert to fraction form
    344,931.80/476,062.80 = 201,664.40/x
  3. Step 3: Cross multiply
    344,931.80x = 476,062.80 × 201,664.40
  4. Step 4: Simplify right side
    344,931.80x = 96,004,918,924.32
  5. Step 5: Solve for x
    x = 96,004,918,924.32/344,931.80
  6. Step 6: Final answer
    x = 278,330.15

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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.