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Finding the Fourth Proportional to 294,631.86, 406,592.01 and 160,495.86

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Solution

The fourth proportional to 294,631.86, 406,592.01 and 160,495.86 is: 221,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,631.86 : 406,592.01 = 160,495.86 : x
  2. Step 2: Convert to fraction form
    294,631.86/406,592.01 = 160,495.86/x
  3. Step 3: Cross multiply
    294,631.86x = 406,592.01 × 160,495.86
  4. Step 4: Simplify right side
    294,631.86x = 65,256,334,314.08
  5. Step 5: Solve for x
    x = 65,256,334,314.08/294,631.86
  6. Step 6: Final answer
    x = 221,484.31

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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.