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Finding the Fourth Proportional to 343,465.20, 515,197.80 and 305,411.40

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Solution

The fourth proportional to 343,465.20, 515,197.80 and 305,411.40 is: 458,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,465.20 : 515,197.80 = 305,411.40 : x
  2. Step 2: Convert to fraction form
    343,465.20/515,197.80 = 305,411.40/x
  3. Step 3: Cross multiply
    343,465.20x = 515,197.80 × 305,411.40
  4. Step 4: Simplify right side
    343,465.20x = 157,347,281,374.92
  5. Step 5: Solve for x
    x = 157,347,281,374.92/343,465.20
  6. Step 6: Final answer
    x = 458,117.10

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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.