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Finding the Fourth Proportional to 487,268.82, 730,975.91 and 202,797.40

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Solution

The fourth proportional to 487,268.82, 730,975.91 and 202,797.40 is: 304,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,268.82 : 730,975.91 = 202,797.40 : x
  2. Step 2: Convert to fraction form
    487,268.82/730,975.91 = 202,797.40/x
  3. Step 3: Cross multiply
    487,268.82x = 730,975.91 × 202,797.40
  4. Step 4: Simplify right side
    487,268.82x = 148,240,013,110.16
  5. Step 5: Solve for x
    x = 148,240,013,110.16/487,268.82
  6. Step 6: Final answer
    x = 304,226.35

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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.