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Finding the Fourth Proportional to 504,207, 695,797.02 and 274,766.40

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Solution

The fourth proportional to 504,207, 695,797.02 and 274,766.40 is: 379,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,207 : 695,797.02 = 274,766.40 : x
  2. Step 2: Convert to fraction form
    504,207/695,797.02 = 274,766.40/x
  3. Step 3: Cross multiply
    504,207x = 695,797.02 × 274,766.40
  4. Step 4: Simplify right side
    504,207x = 191,181,642,316.13
  5. Step 5: Solve for x
    x = 191,181,642,316.13/504,207
  6. Step 6: Final answer
    x = 379,172.92

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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.