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Finding the Fourth Proportional to 294,712.91, 406,703.81 and 160,576.91

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Solution

The fourth proportional to 294,712.91, 406,703.81 and 160,576.91 is: 221,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,712.91 : 406,703.81 = 160,576.91 : x
  2. Step 2: Convert to fraction form
    294,712.91/406,703.81 = 160,576.91/x
  3. Step 3: Cross multiply
    294,712.91x = 406,703.81 × 160,576.91
  4. Step 4: Simplify right side
    294,712.91x = 65,307,241,095.03
  5. Step 5: Solve for x
    x = 65,307,241,095.03/294,712.91
  6. Step 6: Final answer
    x = 221,596.13

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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.