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Finding the Fourth Proportional to 504,932.13, 697,058.87 and 314,007.03

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Solution

The fourth proportional to 504,932.13, 697,058.87 and 314,007.03 is: 433,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,932.13 : 697,058.87 = 314,007.03 : x
  2. Step 2: Convert to fraction form
    504,932.13/697,058.87 = 314,007.03/x
  3. Step 3: Cross multiply
    504,932.13x = 697,058.87 × 314,007.03
  4. Step 4: Simplify right side
    504,932.13x = 218,881,383,933.82
  5. Step 5: Solve for x
    x = 218,881,383,933.82/504,932.13
  6. Step 6: Final answer
    x = 433,486.74

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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.