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Finding the Fourth Proportional to 577,227.40, 865,841.10 and 470,939.20

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Solution

The fourth proportional to 577,227.40, 865,841.10 and 470,939.20 is: 706,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,227.40 : 865,841.10 = 470,939.20 : x
  2. Step 2: Convert to fraction form
    577,227.40/865,841.10 = 470,939.20/x
  3. Step 3: Cross multiply
    577,227.40x = 865,841.10 × 470,939.20
  4. Step 4: Simplify right side
    577,227.40x = 407,758,514,961.12
  5. Step 5: Solve for x
    x = 407,758,514,961.12/577,227.40
  6. Step 6: Final answer
    x = 706,408.80

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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.