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Finding the Fourth Proportional to 543,948.36, 750,433.76 and 314,463.42

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Solution

The fourth proportional to 543,948.36, 750,433.76 and 314,463.42 is: 433,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,948.36 : 750,433.76 = 314,463.42 : x
  2. Step 2: Convert to fraction form
    543,948.36/750,433.76 = 314,463.42/x
  3. Step 3: Cross multiply
    543,948.36x = 750,433.76 × 314,463.42
  4. Step 4: Simplify right side
    543,948.36x = 235,983,966,653.06
  5. Step 5: Solve for x
    x = 235,983,966,653.06/543,948.36
  6. Step 6: Final answer
    x = 433,835.24

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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.