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Finding the Fourth Proportional to 483,851.40, 724,221.90 and 343,883.40

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Solution

The fourth proportional to 483,851.40, 724,221.90 and 343,883.40 is: 514,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,851.40 : 724,221.90 = 343,883.40 : x
  2. Step 2: Convert to fraction form
    483,851.40/724,221.90 = 343,883.40/x
  3. Step 3: Cross multiply
    483,851.40x = 724,221.90 × 343,883.40
  4. Step 4: Simplify right side
    483,851.40x = 249,047,889,326.46
  5. Step 5: Solve for x
    x = 249,047,889,326.46/483,851.40
  6. Step 6: Final answer
    x = 514,719.79

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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.