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Finding the Fourth Proportional to 457,151.31, 630,873.45 and 275,828.13

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Solution

The fourth proportional to 457,151.31, 630,873.45 and 275,828.13 is: 380,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,151.31 : 630,873.45 = 275,828.13 : x
  2. Step 2: Convert to fraction form
    457,151.31/630,873.45 = 275,828.13/x
  3. Step 3: Cross multiply
    457,151.31x = 630,873.45 × 275,828.13
  4. Step 4: Simplify right side
    457,151.31x = 174,012,643,980.15
  5. Step 5: Solve for x
    x = 174,012,643,980.15/457,151.31
  6. Step 6: Final answer
    x = 380,645.62

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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.