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Finding the Fourth Proportional to 343,214.90, 514,822.35 and 185,750.90

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Solution

The fourth proportional to 343,214.90, 514,822.35 and 185,750.90 is: 278,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,214.90 : 514,822.35 = 185,750.90 : x
  2. Step 2: Convert to fraction form
    343,214.90/514,822.35 = 185,750.90/x
  3. Step 3: Cross multiply
    343,214.90x = 514,822.35 × 185,750.90
  4. Step 4: Simplify right side
    343,214.90x = 95,628,714,852.62
  5. Step 5: Solve for x
    x = 95,628,714,852.62/343,214.90
  6. Step 6: Final answer
    x = 278,626.35

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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.