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Finding the Fourth Proportional to 852,158.67, 1,175,978.14 and 470,185.48

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Solution

The fourth proportional to 852,158.67, 1,175,978.14 and 470,185.48 is: 648,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,158.67 : 1,175,978.14 = 470,185.48 : x
  2. Step 2: Convert to fraction form
    852,158.67/1,175,978.14 = 470,185.48/x
  3. Step 3: Cross multiply
    852,158.67x = 1,175,978.14 × 470,185.48
  4. Step 4: Simplify right side
    852,158.67x = 552,927,846,225.41
  5. Step 5: Solve for x
    x = 552,927,846,225.41/852,158.67
  6. Step 6: Final answer
    x = 648,855.51

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Why These Related Problems?

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