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Finding the Fourth Proportional to 755,347.65, 1,042,347.18 and 411,184.11

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Solution

The fourth proportional to 755,347.65, 1,042,347.18 and 411,184.11 is: 567,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,347.65 : 1,042,347.18 = 411,184.11 : x
  2. Step 2: Convert to fraction form
    755,347.65/1,042,347.18 = 411,184.11/x
  3. Step 3: Cross multiply
    755,347.65x = 1,042,347.18 × 411,184.11
  4. Step 4: Simplify right side
    755,347.65x = 428,596,597,519.31
  5. Step 5: Solve for x
    x = 428,596,597,519.31/755,347.65
  6. Step 6: Final answer
    x = 567,416.34

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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.