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Finding the Fourth Proportional to 476,765.32, 657,933.66 and 258,972.24

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Solution

The fourth proportional to 476,765.32, 657,933.66 and 258,972.24 is: 357,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,765.32 : 657,933.66 = 258,972.24 : x
  2. Step 2: Convert to fraction form
    476,765.32/657,933.66 = 258,972.24/x
  3. Step 3: Cross multiply
    476,765.32x = 657,933.66 × 258,972.24
  4. Step 4: Simplify right side
    476,765.32x = 170,386,553,196.33
  5. Step 5: Solve for x
    x = 170,386,553,196.33/476,765.32
  6. Step 6: Final answer
    x = 357,380.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.