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Finding the Fourth Proportional to 458,646.30, 633,231.66 and 297,959.31

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Solution

The fourth proportional to 458,646.30, 633,231.66 and 297,959.31 is: 411,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,646.30 : 633,231.66 = 297,959.31 : x
  2. Step 2: Convert to fraction form
    458,646.30/633,231.66 = 297,959.31/x
  3. Step 3: Cross multiply
    458,646.30x = 633,231.66 × 297,959.31
  4. Step 4: Simplify right side
    458,646.30x = 188,677,268,483.76
  5. Step 5: Solve for x
    x = 188,677,268,483.76/458,646.30
  6. Step 6: Final answer
    x = 411,378.59

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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.