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Finding the Fourth Proportional to 738,805, 1,019,551.14 and 420,853

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Solution

The fourth proportional to 738,805, 1,019,551.14 and 420,853 is: 580,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,805 : 1,019,551.14 = 420,853 : x
  2. Step 2: Convert to fraction form
    738,805/1,019,551.14 = 420,853/x
  3. Step 3: Cross multiply
    738,805x = 1,019,551.14 × 420,853
  4. Step 4: Simplify right side
    738,805x = 429,081,155,922.42
  5. Step 5: Solve for x
    x = 429,081,155,922.42/738,805
  6. Step 6: Final answer
    x = 580,777.28

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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.