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Finding the Fourth Proportional to 476,323.76, 657,327.73 and 282,770.29

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Solution

The fourth proportional to 476,323.76, 657,327.73 and 282,770.29 is: 390,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,323.76 : 657,327.73 = 282,770.29 : x
  2. Step 2: Convert to fraction form
    476,323.76/657,327.73 = 282,770.29/x
  3. Step 3: Cross multiply
    476,323.76x = 657,327.73 × 282,770.29
  4. Step 4: Simplify right side
    476,323.76x = 185,872,752,837.14
  5. Step 5: Solve for x
    x = 185,872,752,837.14/476,323.76
  6. Step 6: Final answer
    x = 390,223.56

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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.