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Finding the Fourth Proportional to 294,408.01, 406,281.90 and 165,328.57

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Solution

The fourth proportional to 294,408.01, 406,281.90 and 165,328.57 is: 228,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408.01 : 406,281.90 = 165,328.57 : x
  2. Step 2: Convert to fraction form
    294,408.01/406,281.90 = 165,328.57/x
  3. Step 3: Cross multiply
    294,408.01x = 406,281.90 × 165,328.57
  4. Step 4: Simplify right side
    294,408.01x = 67,170,005,543.88
  5. Step 5: Solve for x
    x = 67,170,005,543.88/294,408.01
  6. Step 6: Final answer
    x = 228,152.78

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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.