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Finding the Fourth Proportional to 513,506.64, 708,400.37 and 332,277.08

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Solution

The fourth proportional to 513,506.64, 708,400.37 and 332,277.08 is: 458,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,506.64 : 708,400.37 = 332,277.08 : x
  2. Step 2: Convert to fraction form
    513,506.64/708,400.37 = 332,277.08/x
  3. Step 3: Cross multiply
    513,506.64x = 708,400.37 × 332,277.08
  4. Step 4: Simplify right side
    513,506.64x = 235,385,201,211.13
  5. Step 5: Solve for x
    x = 235,385,201,211.13/513,506.64
  6. Step 6: Final answer
    x = 458,387.84

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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.