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Finding the Fourth Proportional to 294,407.01, 406,280.52 and 165,327.57

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Solution

The fourth proportional to 294,407.01, 406,280.52 and 165,327.57 is: 228,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,407.01 : 406,280.52 = 165,327.57 : x
  2. Step 2: Convert to fraction form
    294,407.01/406,280.52 = 165,327.57/x
  3. Step 3: Cross multiply
    294,407.01x = 406,280.52 × 165,327.57
  4. Step 4: Simplify right side
    294,407.01x = 67,169,371,109.94
  5. Step 5: Solve for x
    x = 67,169,371,109.94/294,407.01
  6. Step 6: Final answer
    x = 228,151.40

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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.