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Finding the Fourth Proportional to 852,143.80, 1,175,957.54 and 470,170.54

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Solution

The fourth proportional to 852,143.80, 1,175,957.54 and 470,170.54 is: 648,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,143.80 : 1,175,957.54 = 470,170.54 : x
  2. Step 2: Convert to fraction form
    852,143.80/1,175,957.54 = 470,170.54/x
  3. Step 3: Cross multiply
    852,143.80x = 1,175,957.54 × 470,170.54
  4. Step 4: Simplify right side
    852,143.80x = 552,900,591,598.87
  5. Step 5: Solve for x
    x = 552,900,591,598.87/852,143.80
  6. Step 6: Final answer
    x = 648,834.85

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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.