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Finding the Fourth Proportional to 294,720.66, 406,714.50 and 160,584.66

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Solution

The fourth proportional to 294,720.66, 406,714.50 and 160,584.66 is: 221,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,720.66 : 406,714.50 = 160,584.66 : x
  2. Step 2: Convert to fraction form
    294,720.66/406,714.50 = 160,584.66/x
  3. Step 3: Cross multiply
    294,720.66x = 406,714.50 × 160,584.66
  4. Step 4: Simplify right side
    294,720.66x = 65,312,109,699.57
  5. Step 5: Solve for x
    x = 65,312,109,699.57/294,720.66
  6. Step 6: Final answer
    x = 221,606.82

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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.