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Finding the Fourth Proportional to 294,461.20, 406,325.94 and 165,414.16

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Solution

The fourth proportional to 294,461.20, 406,325.94 and 165,414.16 is: 228,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,461.20 : 406,325.94 = 165,414.16 : x
  2. Step 2: Convert to fraction form
    294,461.20/406,325.94 = 165,414.16/x
  3. Step 3: Cross multiply
    294,461.20x = 406,325.94 × 165,414.16
  4. Step 4: Simplify right side
    294,461.20x = 67,212,064,051.31
  5. Step 5: Solve for x
    x = 67,212,064,051.31/294,461.20
  6. Step 6: Final answer
    x = 228,254.40

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1.5x scale

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.