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Finding the Fourth Proportional to 856,783.80, 1,182,408.71 and 474,802.38

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Solution

The fourth proportional to 856,783.80, 1,182,408.71 and 474,802.38 is: 655,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,783.80 : 1,182,408.71 = 474,802.38 : x
  2. Step 2: Convert to fraction form
    856,783.80/1,182,408.71 = 474,802.38/x
  3. Step 3: Cross multiply
    856,783.80x = 1,182,408.71 × 474,802.38
  4. Step 4: Simplify right side
    856,783.80x = 561,410,467,266.72
  5. Step 5: Solve for x
    x = 561,410,467,266.72/856,783.80
  6. Step 6: Final answer
    x = 655,253.36

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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.