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Finding the Fourth Proportional to 584,701.58, 807,662.55 and 470,410.77

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Solution

The fourth proportional to 584,701.58, 807,662.55 and 470,410.77 is: 649,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,701.58 : 807,662.55 = 470,410.77 : x
  2. Step 2: Convert to fraction form
    584,701.58/807,662.55 = 470,410.77/x
  3. Step 3: Cross multiply
    584,701.58x = 807,662.55 × 470,410.77
  4. Step 4: Simplify right side
    584,701.58x = 379,933,162,045.66
  5. Step 5: Solve for x
    x = 379,933,162,045.66/584,701.58
  6. Step 6: Final answer
    x = 649,789.87

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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.