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Finding the Fourth Proportional to 343,013.94, 514,696.50 and 163,302.66

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Solution

The fourth proportional to 343,013.94, 514,696.50 and 163,302.66 is: 245,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,013.94 : 514,696.50 = 163,302.66 : x
  2. Step 2: Convert to fraction form
    343,013.94/514,696.50 = 163,302.66/x
  3. Step 3: Cross multiply
    343,013.94x = 514,696.50 × 163,302.66
  4. Step 4: Simplify right side
    343,013.94x = 84,051,307,542.69
  5. Step 5: Solve for x
    x = 84,051,307,542.69/343,013.94
  6. Step 6: Final answer
    x = 245,037.59

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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.