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Finding the Fourth Proportional to 294,726.86, 406,723.07 and 160,590.86

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Solution

The fourth proportional to 294,726.86, 406,723.07 and 160,590.86 is: 221,615.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,726.86 : 406,723.07 = 160,590.86 : x
  2. Step 2: Convert to fraction form
    294,726.86/406,723.07 = 160,590.86/x
  3. Step 3: Cross multiply
    294,726.86x = 406,723.07 × 160,590.86
  4. Step 4: Simplify right side
    294,726.86x = 65,316,007,486.21
  5. Step 5: Solve for x
    x = 65,316,007,486.21/294,726.86
  6. Step 6: Final answer
    x = 221,615.39

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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.