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Finding the Fourth Proportional to 566,689.50, 782,013.15 and 312,034.14

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Solution

The fourth proportional to 566,689.50, 782,013.15 and 312,034.14 is: 430,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,689.50 : 782,013.15 = 312,034.14 : x
  2. Step 2: Convert to fraction form
    566,689.50/782,013.15 = 312,034.14/x
  3. Step 3: Cross multiply
    566,689.50x = 782,013.15 × 312,034.14
  4. Step 4: Simplify right side
    566,689.50x = 244,014,800,728.94
  5. Step 5: Solve for x
    x = 244,014,800,728.94/566,689.50
  6. Step 6: Final answer
    x = 430,597.00

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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.