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Finding the Fourth Proportional to 343,192.91, 514,483.19 and 174,618.95

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Solution

The fourth proportional to 343,192.91, 514,483.19 and 174,618.95 is: 261,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,192.91 : 514,483.19 = 174,618.95 : x
  2. Step 2: Convert to fraction form
    343,192.91/514,483.19 = 174,618.95/x
  3. Step 3: Cross multiply
    343,192.91x = 514,483.19 × 174,618.95
  4. Step 4: Simplify right side
    343,192.91x = 89,838,513,557.36
  5. Step 5: Solve for x
    x = 89,838,513,557.36/343,192.91
  6. Step 6: Final answer
    x = 261,772.64

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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.