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Finding the Fourth Proportional to 566,694.50, 782,038.41 and 312,045.08

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Solution

The fourth proportional to 566,694.50, 782,038.41 and 312,045.08 is: 430,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,694.50 : 782,038.41 = 312,045.08 : x
  2. Step 2: Convert to fraction form
    566,694.50/782,038.41 = 312,045.08/x
  3. Step 3: Cross multiply
    566,694.50x = 782,038.41 × 312,045.08
  4. Step 4: Simplify right side
    566,694.50x = 244,031,238,211.52
  5. Step 5: Solve for x
    x = 244,031,238,211.52/566,694.50
  6. Step 6: Final answer
    x = 430,622.21

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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.