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Finding the Fourth Proportional to 362,901.46, 500,749.07 and 207,828.64

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Solution

The fourth proportional to 362,901.46, 500,749.07 and 207,828.64 is: 286,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,901.46 : 500,749.07 = 207,828.64 : x
  2. Step 2: Convert to fraction form
    362,901.46/500,749.07 = 207,828.64/x
  3. Step 3: Cross multiply
    362,901.46x = 500,749.07 × 207,828.64
  4. Step 4: Simplify right side
    362,901.46x = 104,069,997,467.06
  5. Step 5: Solve for x
    x = 104,069,997,467.06/362,901.46
  6. Step 6: Final answer
    x = 286,772.06

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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.