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Finding the Fourth Proportional to 647,424.80, 894,010.37 and 406,122.15

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Solution

The fourth proportional to 647,424.80, 894,010.37 and 406,122.15 is: 560,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,424.80 : 894,010.37 = 406,122.15 : x
  2. Step 2: Convert to fraction form
    647,424.80/894,010.37 = 406,122.15/x
  3. Step 3: Cross multiply
    647,424.80x = 894,010.37 × 406,122.15
  4. Step 4: Simplify right side
    647,424.80x = 363,077,411,556.09
  5. Step 5: Solve for x
    x = 363,077,411,556.09/647,424.80
  6. Step 6: Final answer
    x = 560,802.45

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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.