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Finding the Fourth Proportional to 501,847.13, 692,459.73 and 284,054.73

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Solution

The fourth proportional to 501,847.13, 692,459.73 and 284,054.73 is: 391,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,847.13 : 692,459.73 = 284,054.73 : x
  2. Step 2: Convert to fraction form
    501,847.13/692,459.73 = 284,054.73/x
  3. Step 3: Cross multiply
    501,847.13x = 692,459.73 × 284,054.73
  4. Step 4: Simplify right side
    501,847.13x = 196,696,461,641.02
  5. Step 5: Solve for x
    x = 196,696,461,641.02/501,847.13
  6. Step 6: Final answer
    x = 391,944.98

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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.