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Finding the Fourth Proportional to 431,952.13, 596,200.67 and 262,328.41

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Solution

The fourth proportional to 431,952.13, 596,200.67 and 262,328.41 is: 362,078.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,952.13 : 596,200.67 = 262,328.41 : x
  2. Step 2: Convert to fraction form
    431,952.13/596,200.67 = 262,328.41/x
  3. Step 3: Cross multiply
    431,952.13x = 596,200.67 × 262,328.41
  4. Step 4: Simplify right side
    431,952.13x = 156,400,373,802.04
  5. Step 5: Solve for x
    x = 156,400,373,802.04/431,952.13
  6. Step 6: Final answer
    x = 362,078.02

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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.