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Finding the Fourth Proportional to 566,713.50, 782,064.63 and 312,064.08

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Solution

The fourth proportional to 566,713.50, 782,064.63 and 312,064.08 is: 430,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,713.50 : 782,064.63 = 312,064.08 : x
  2. Step 2: Convert to fraction form
    566,713.50/782,064.63 = 312,064.08/x
  3. Step 3: Cross multiply
    566,713.50x = 782,064.63 × 312,064.08
  4. Step 4: Simplify right side
    566,713.50x = 244,054,279,261.49
  5. Step 5: Solve for x
    x = 244,054,279,261.49/566,713.50
  6. Step 6: Final answer
    x = 430,648.43

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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.