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Finding the Fourth Proportional to 504,967.52, 697,107.70 and 314,042.42

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Solution

The fourth proportional to 504,967.52, 697,107.70 and 314,042.42 is: 433,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,967.52 : 697,107.70 = 314,042.42 : x
  2. Step 2: Convert to fraction form
    504,967.52/697,107.70 = 314,042.42/x
  3. Step 3: Cross multiply
    504,967.52x = 697,107.70 × 314,042.42
  4. Step 4: Simplify right side
    504,967.52x = 218,921,389,108.63
  5. Step 5: Solve for x
    x = 218,921,389,108.63/504,967.52
  6. Step 6: Final answer
    x = 433,535.58

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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.