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Finding the Fourth Proportional to 564,226.86, 778,632.98 and 322,514.62

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Solution

The fourth proportional to 564,226.86, 778,632.98 and 322,514.62 is: 445,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,226.86 : 778,632.98 = 322,514.62 : x
  2. Step 2: Convert to fraction form
    564,226.86/778,632.98 = 322,514.62/x
  3. Step 3: Cross multiply
    564,226.86x = 778,632.98 × 322,514.62
  4. Step 4: Simplify right side
    564,226.86x = 251,120,518,857.88
  5. Step 5: Solve for x
    x = 251,120,518,857.88/564,226.86
  6. Step 6: Final answer
    x = 445,070.13

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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.