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Finding the Fourth Proportional to 543,898.29, 750,535.64 and 314,470.31

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Solution

The fourth proportional to 543,898.29, 750,535.64 and 314,470.31 is: 433,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,898.29 : 750,535.64 = 314,470.31 : x
  2. Step 2: Convert to fraction form
    543,898.29/750,535.64 = 314,470.31/x
  3. Step 3: Cross multiply
    543,898.29x = 750,535.64 × 314,470.31
  4. Step 4: Simplify right side
    543,898.29x = 236,021,170,051.82
  5. Step 5: Solve for x
    x = 236,021,170,051.82/543,898.29
  6. Step 6: Final answer
    x = 433,943.58

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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.