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Finding the Fourth Proportional to 343,618.93, 474,210.10 and 214,633.77

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Solution

The fourth proportional to 343,618.93, 474,210.10 and 214,633.77 is: 296,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,618.93 : 474,210.10 = 214,633.77 : x
  2. Step 2: Convert to fraction form
    343,618.93/474,210.10 = 214,633.77/x
  3. Step 3: Cross multiply
    343,618.93x = 474,210.10 × 214,633.77
  4. Step 4: Simplify right side
    343,618.93x = 101,781,500,461.91
  5. Step 5: Solve for x
    x = 101,781,500,461.91/343,618.93
  6. Step 6: Final answer
    x = 296,204.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.