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Finding the Fourth Proportional to 570,468.89, 787,217.10 and 312,296.38

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Solution

The fourth proportional to 570,468.89, 787,217.10 and 312,296.38 is: 430,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,468.89 : 787,217.10 = 312,296.38 : x
  2. Step 2: Convert to fraction form
    570,468.89/787,217.10 = 312,296.38/x
  3. Step 3: Cross multiply
    570,468.89x = 787,217.10 × 312,296.38
  4. Step 4: Simplify right side
    570,468.89x = 245,845,050,604.10
  5. Step 5: Solve for x
    x = 245,845,050,604.10/570,468.89
  6. Step 6: Final answer
    x = 430,952.60

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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.