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Finding the Fourth Proportional to 501,657.48, 692,251.38 and 286,806.60

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Solution

The fourth proportional to 501,657.48, 692,251.38 and 286,806.60 is: 395,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,657.48 : 692,251.38 = 286,806.60 : x
  2. Step 2: Convert to fraction form
    501,657.48/692,251.38 = 286,806.60/x
  3. Step 3: Cross multiply
    501,657.48x = 692,251.38 × 286,806.60
  4. Step 4: Simplify right side
    501,657.48x = 198,542,264,643.11
  5. Step 5: Solve for x
    x = 198,542,264,643.11/501,657.48
  6. Step 6: Final answer
    x = 395,772.56

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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.