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Finding the Fourth Proportional to 288,001.30, 402,268.70 and 288,001.30

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Solution

The fourth proportional to 288,001.30, 402,268.70 and 288,001.30 is: 402,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.30 : 402,268.70 = 288,001.30 : x
  2. Step 2: Convert to fraction form
    288,001.30/402,268.70 = 288,001.30/x
  3. Step 3: Cross multiply
    288,001.30x = 402,268.70 × 288,001.30
  4. Step 4: Simplify right side
    288,001.30x = 115,853,908,549.31
  5. Step 5: Solve for x
    x = 115,853,908,549.31/288,001.30
  6. Step 6: Final answer
    x = 402,268.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.