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Finding the Fourth Proportional to 397,875, 596,921.86 and 117,392.26

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Solution

The fourth proportional to 397,875, 596,921.86 and 117,392.26 is: 176,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,875 : 596,921.86 = 117,392.26 : x
  2. Step 2: Convert to fraction form
    397,875/596,921.86 = 117,392.26/x
  3. Step 3: Cross multiply
    397,875x = 596,921.86 × 117,392.26
  4. Step 4: Simplify right side
    397,875x = 70,074,006,188.80
  5. Step 5: Solve for x
    x = 70,074,006,188.80/397,875
  6. Step 6: Final answer
    x = 176,120.66

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