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Finding the Fourth Proportional to 707,712.68, 976,509.31 and 449,631.64

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Solution

The fourth proportional to 707,712.68, 976,509.31 and 449,631.64 is: 620,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,712.68 : 976,509.31 = 449,631.64 : x
  2. Step 2: Convert to fraction form
    707,712.68/976,509.31 = 449,631.64/x
  3. Step 3: Cross multiply
    707,712.68x = 976,509.31 × 449,631.64
  4. Step 4: Simplify right side
    707,712.68x = 439,069,482,530.57
  5. Step 5: Solve for x
    x = 439,069,482,530.57/707,712.68
  6. Step 6: Final answer
    x = 620,406.41

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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.