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Finding the Fourth Proportional to 504,967.16, 697,107.21 and 314,042.06

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Solution

The fourth proportional to 504,967.16, 697,107.21 and 314,042.06 is: 433,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,967.16 : 697,107.21 = 314,042.06 : x
  2. Step 2: Convert to fraction form
    504,967.16/697,107.21 = 314,042.06/x
  3. Step 3: Cross multiply
    504,967.16x = 697,107.21 × 314,042.06
  4. Step 4: Simplify right side
    504,967.16x = 218,920,984,269.25
  5. Step 5: Solve for x
    x = 218,920,984,269.25/504,967.16
  6. Step 6: Final answer
    x = 433,535.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.