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Finding the Fourth Proportional to 343,334.61, 514,903.50 and 103,471.74

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Solution

The fourth proportional to 343,334.61, 514,903.50 and 103,471.74 is: 155,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,334.61 : 514,903.50 = 103,471.74 : x
  2. Step 2: Convert to fraction form
    343,334.61/514,903.50 = 103,471.74/x
  3. Step 3: Cross multiply
    343,334.61x = 514,903.50 × 103,471.74
  4. Step 4: Simplify right side
    343,334.61x = 53,277,961,077.09
  5. Step 5: Solve for x
    x = 53,277,961,077.09/343,334.61
  6. Step 6: Final answer
    x = 155,177.95

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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.