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Finding the Fourth Proportional to 343,206.40, 514,809.60 and 185,742.40

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Solution

The fourth proportional to 343,206.40, 514,809.60 and 185,742.40 is: 278,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,206.40 : 514,809.60 = 185,742.40 : x
  2. Step 2: Convert to fraction form
    343,206.40/514,809.60 = 185,742.40/x
  3. Step 3: Cross multiply
    343,206.40x = 514,809.60 × 185,742.40
  4. Step 4: Simplify right side
    343,206.40x = 95,621,970,647.04
  5. Step 5: Solve for x
    x = 95,621,970,647.04/343,206.40
  6. Step 6: Final answer
    x = 278,613.60

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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.