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Finding the Fourth Proportional to 856,776, 1,182,398.04 and 474,794.40

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Solution

The fourth proportional to 856,776, 1,182,398.04 and 474,794.40 is: 655,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,776 : 1,182,398.04 = 474,794.40 : x
  2. Step 2: Convert to fraction form
    856,776/1,182,398.04 = 474,794.40/x
  3. Step 3: Cross multiply
    856,776x = 1,182,398.04 × 474,794.40
  4. Step 4: Simplify right side
    856,776x = 561,395,967,962.98
  5. Step 5: Solve for x
    x = 561,395,967,962.98/856,776
  6. Step 6: Final answer
    x = 655,242.41

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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.