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Finding the Fourth Proportional to 431,614.53, 596,004.14 and 270,746.10

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Solution

The fourth proportional to 431,614.53, 596,004.14 and 270,746.10 is: 373,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,614.53 : 596,004.14 = 270,746.10 : x
  2. Step 2: Convert to fraction form
    431,614.53/596,004.14 = 270,746.10/x
  3. Step 3: Cross multiply
    431,614.53x = 596,004.14 × 270,746.10
  4. Step 4: Simplify right side
    431,614.53x = 161,365,797,165.72
  5. Step 5: Solve for x
    x = 161,365,797,165.72/431,614.53
  6. Step 6: Final answer
    x = 373,865.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.