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Finding the Fourth Proportional to 294,442.95, 406,300.76 and 165,395.91

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Solution

The fourth proportional to 294,442.95, 406,300.76 and 165,395.91 is: 228,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,442.95 : 406,300.76 = 165,395.91 : x
  2. Step 2: Convert to fraction form
    294,442.95/406,300.76 = 165,395.91/x
  3. Step 3: Cross multiply
    294,442.95x = 406,300.76 × 165,395.91
  4. Step 4: Simplify right side
    294,442.95x = 67,200,483,106.91
  5. Step 5: Solve for x
    x = 67,200,483,106.91/294,442.95
  6. Step 6: Final answer
    x = 228,229.21

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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.