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Finding the Fourth Proportional to 566,906, 782,273.52 and 349,079.76

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Solution

The fourth proportional to 566,906, 782,273.52 and 349,079.76 is: 481,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,906 : 782,273.52 = 349,079.76 : x
  2. Step 2: Convert to fraction form
    566,906/782,273.52 = 349,079.76/x
  3. Step 3: Cross multiply
    566,906x = 782,273.52 × 349,079.76
  4. Step 4: Simplify right side
    566,906x = 273,075,852,615.96
  5. Step 5: Solve for x
    x = 273,075,852,615.96/566,906
  6. Step 6: Final answer
    x = 481,695.12

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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.