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Finding the Fourth Proportional to 504,972.85, 697,115.06 and 314,047.75

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Solution

The fourth proportional to 504,972.85, 697,115.06 and 314,047.75 is: 433,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,972.85 : 697,115.06 = 314,047.75 : x
  2. Step 2: Convert to fraction form
    504,972.85/697,115.06 = 314,047.75/x
  3. Step 3: Cross multiply
    504,972.85x = 697,115.06 × 314,047.75
  4. Step 4: Simplify right side
    504,972.85x = 218,927,416,084.12
  5. Step 5: Solve for x
    x = 218,927,416,084.12/504,972.85
  6. Step 6: Final answer
    x = 433,542.94

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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.