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Finding the Fourth Proportional to 1,310,354.64, 1,965,542.94 and 363,799.16

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Solution

The fourth proportional to 1,310,354.64, 1,965,542.94 and 363,799.16 is: 545,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,354.64 : 1,965,542.94 = 363,799.16 : x
  2. Step 2: Convert to fraction form
    1,310,354.64/1,965,542.94 = 363,799.16/x
  3. Step 3: Cross multiply
    1,310,354.64x = 1,965,542.94 × 363,799.16
  4. Step 4: Simplify right side
    1,310,354.64x = 715,062,870,515.93
  5. Step 5: Solve for x
    x = 715,062,870,515.93/1,310,354.64
  6. Step 6: Final answer
    x = 545,701.79

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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.