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Finding the Fourth Proportional to 610,464.38, 842,494.12 and 355,810.10

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Solution

The fourth proportional to 610,464.38, 842,494.12 and 355,810.10 is: 491,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,464.38 : 842,494.12 = 355,810.10 : x
  2. Step 2: Convert to fraction form
    610,464.38/842,494.12 = 355,810.10/x
  3. Step 3: Cross multiply
    610,464.38x = 842,494.12 × 355,810.10
  4. Step 4: Simplify right side
    610,464.38x = 299,767,917,086.61
  5. Step 5: Solve for x
    x = 299,767,917,086.61/610,464.38
  6. Step 6: Final answer
    x = 491,048.99

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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.