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Finding the Fourth Proportional to 647,424.05, 894,009.33 and 406,121.40

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Solution

The fourth proportional to 647,424.05, 894,009.33 and 406,121.40 is: 560,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,424.05 : 894,009.33 = 406,121.40 : x
  2. Step 2: Convert to fraction form
    647,424.05/894,009.33 = 406,121.40/x
  3. Step 3: Cross multiply
    647,424.05x = 894,009.33 × 406,121.40
  4. Step 4: Simplify right side
    647,424.05x = 363,076,320,712.66
  5. Step 5: Solve for x
    x = 363,076,320,712.66/647,424.05
  6. Step 6: Final answer
    x = 560,801.42

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1.5x scale

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.