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Finding the Fourth Proportional to 374,686.84, 562,214.78 and 174,978.24

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Solution

The fourth proportional to 374,686.84, 562,214.78 and 174,978.24 is: 262,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,686.84 : 562,214.78 = 174,978.24 : x
  2. Step 2: Convert to fraction form
    374,686.84/562,214.78 = 174,978.24/x
  3. Step 3: Cross multiply
    374,686.84x = 562,214.78 × 174,978.24
  4. Step 4: Simplify right side
    374,686.84x = 98,375,352,706.39
  5. Step 5: Solve for x
    x = 98,375,352,706.39/374,686.84
  6. Step 6: Final answer
    x = 262,553.53

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Why These Related Problems?

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