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Finding the Fourth Proportional to 461,716.80, 692,575.20 and 312,028.80

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Solution

The fourth proportional to 461,716.80, 692,575.20 and 312,028.80 is: 468,043.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,716.80 : 692,575.20 = 312,028.80 : x
  2. Step 2: Convert to fraction form
    461,716.80/692,575.20 = 312,028.80/x
  3. Step 3: Cross multiply
    461,716.80x = 692,575.20 × 312,028.80
  4. Step 4: Simplify right side
    461,716.80x = 216,103,408,565.76
  5. Step 5: Solve for x
    x = 216,103,408,565.76/461,716.80
  6. Step 6: Final answer
    x = 468,043.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.