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Finding the Fourth Proportional to 360,677.80, 497,645.94 and 233,200

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Solution

The fourth proportional to 360,677.80, 497,645.94 and 233,200 is: 321,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,677.80 : 497,645.94 = 233,200 : x
  2. Step 2: Convert to fraction form
    360,677.80/497,645.94 = 233,200/x
  3. Step 3: Cross multiply
    360,677.80x = 497,645.94 × 233,200
  4. Step 4: Simplify right side
    360,677.80x = 116,051,033,208
  5. Step 5: Solve for x
    x = 116,051,033,208/360,677.80
  6. Step 6: Final answer
    x = 321,758.18

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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.