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Finding the Fourth Proportional to 297,634.77, 410,652.59 and 282,675.69

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Solution

The fourth proportional to 297,634.77, 410,652.59 and 282,675.69 is: 390,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,634.77 : 410,652.59 = 282,675.69 : x
  2. Step 2: Convert to fraction form
    297,634.77/410,652.59 = 282,675.69/x
  3. Step 3: Cross multiply
    297,634.77x = 410,652.59 × 282,675.69
  4. Step 4: Simplify right side
    297,634.77x = 116,081,502,815.16
  5. Step 5: Solve for x
    x = 116,081,502,815.16/297,634.77
  6. Step 6: Final answer
    x = 390,013.25

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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.