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Finding the Fourth Proportional to 501,702, 692,349.22 and 286,846.56

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Solution

The fourth proportional to 501,702, 692,349.22 and 286,846.56 is: 395,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,702 : 692,349.22 = 286,846.56 : x
  2. Step 2: Convert to fraction form
    501,702/692,349.22 = 286,846.56/x
  3. Step 3: Cross multiply
    501,702x = 692,349.22 × 286,846.56
  4. Step 4: Simplify right side
    501,702x = 198,597,992,075.68
  5. Step 5: Solve for x
    x = 198,597,992,075.68/501,702
  6. Step 6: Final answer
    x = 395,848.52

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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.