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Finding the Fourth Proportional to 294,433.92, 406,328.64 and 160,302.72

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Solution

The fourth proportional to 294,433.92, 406,328.64 and 160,302.72 is: 221,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,433.92 : 406,328.64 = 160,302.72 : x
  2. Step 2: Convert to fraction form
    294,433.92/406,328.64 = 160,302.72/x
  3. Step 3: Cross multiply
    294,433.92x = 406,328.64 × 160,302.72
  4. Step 4: Simplify right side
    294,433.92x = 65,135,586,205.90
  5. Step 5: Solve for x
    x = 65,135,586,205.90/294,433.92
  6. Step 6: Final answer
    x = 221,223.11

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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.