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Finding the Fourth Proportional to 313,696.32, 470,543.49 and 89,056.95

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Solution

The fourth proportional to 313,696.32, 470,543.49 and 89,056.95 is: 133,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,696.32 : 470,543.49 = 89,056.95 : x
  2. Step 2: Convert to fraction form
    313,696.32/470,543.49 = 89,056.95/x
  3. Step 3: Cross multiply
    313,696.32x = 470,543.49 × 89,056.95
  4. Step 4: Simplify right side
    313,696.32x = 41,905,168,061.76
  5. Step 5: Solve for x
    x = 41,905,168,061.76/313,696.32
  6. Step 6: Final answer
    x = 133,585.14

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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.