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Finding the Fourth Proportional to 507,287.52, 760,937.76 and 241,074

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Solution

The fourth proportional to 507,287.52, 760,937.76 and 241,074 is: 361,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,287.52 : 760,937.76 = 241,074 : x
  2. Step 2: Convert to fraction form
    507,287.52/760,937.76 = 241,074/x
  3. Step 3: Cross multiply
    507,287.52x = 760,937.76 × 241,074
  4. Step 4: Simplify right side
    507,287.52x = 183,442,309,554.24
  5. Step 5: Solve for x
    x = 183,442,309,554.24/507,287.52
  6. Step 6: Final answer
    x = 361,614.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.