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Finding the Fourth Proportional to 357,716.40, 537,611.40 and 312,097.20

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Solution

The fourth proportional to 357,716.40, 537,611.40 and 312,097.20 is: 469,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,716.40 : 537,611.40 = 312,097.20 : x
  2. Step 2: Convert to fraction form
    357,716.40/537,611.40 = 312,097.20/x
  3. Step 3: Cross multiply
    357,716.40x = 537,611.40 × 312,097.20
  4. Step 4: Simplify right side
    357,716.40x = 167,787,012,628.08
  5. Step 5: Solve for x
    x = 167,787,012,628.08/357,716.40
  6. Step 6: Final answer
    x = 469,050.38

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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.