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Finding the Fourth Proportional to 501,705.37, 692,353.65 and 286,849.63

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Solution

The fourth proportional to 501,705.37, 692,353.65 and 286,849.63 is: 395,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,705.37 : 692,353.65 = 286,849.63 : x
  2. Step 2: Convert to fraction form
    501,705.37/692,353.65 = 286,849.63/x
  3. Step 3: Cross multiply
    501,705.37x = 692,353.65 × 286,849.63
  4. Step 4: Simplify right side
    501,705.37x = 198,601,388,331.65
  5. Step 5: Solve for x
    x = 198,601,388,331.65/501,705.37
  6. Step 6: Final answer
    x = 395,852.63

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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.