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Finding the Fourth Proportional to 501,846.76, 692,459.13 and 284,054.38

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Solution

The fourth proportional to 501,846.76, 692,459.13 and 284,054.38 is: 391,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,846.76 : 692,459.13 = 284,054.38 : x
  2. Step 2: Convert to fraction form
    501,846.76/692,459.13 = 284,054.38/x
  3. Step 3: Cross multiply
    501,846.76x = 692,459.13 × 284,054.38
  4. Step 4: Simplify right side
    501,846.76x = 196,696,048,847.49
  5. Step 5: Solve for x
    x = 196,696,048,847.49/501,846.76
  6. Step 6: Final answer
    x = 391,944.44

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1.5x scale

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.