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Finding the Fourth Proportional to 707,438.85, 976,594.65 and 416,958.78

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Solution

The fourth proportional to 707,438.85, 976,594.65 and 416,958.78 is: 575,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,438.85 : 976,594.65 = 416,958.78 : x
  2. Step 2: Convert to fraction form
    707,438.85/976,594.65 = 416,958.78/x
  3. Step 3: Cross multiply
    707,438.85x = 976,594.65 × 416,958.78
  4. Step 4: Simplify right side
    707,438.85x = 407,199,713,818.53
  5. Step 5: Solve for x
    x = 407,199,713,818.53/707,438.85
  6. Step 6: Final answer
    x = 575,597.05

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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.