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Finding the Fourth Proportional to 566,721.50, 782,075.67 and 312,072.08

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Solution

The fourth proportional to 566,721.50, 782,075.67 and 312,072.08 is: 430,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,721.50 : 782,075.67 = 312,072.08 : x
  2. Step 2: Convert to fraction form
    566,721.50/782,075.67 = 312,072.08/x
  3. Step 3: Cross multiply
    566,721.50x = 782,075.67 × 312,072.08
  4. Step 4: Simplify right side
    566,721.50x = 244,063,981,054.29
  5. Step 5: Solve for x
    x = 244,063,981,054.29/566,721.50
  6. Step 6: Final answer
    x = 430,659.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.