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Finding the Fourth Proportional to 296,312.23, 408,911.95 and 160,346.16

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Solution

The fourth proportional to 296,312.23, 408,911.95 and 160,346.16 is: 221,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,312.23 : 408,911.95 = 160,346.16 : x
  2. Step 2: Convert to fraction form
    296,312.23/408,911.95 = 160,346.16/x
  3. Step 3: Cross multiply
    296,312.23x = 408,911.95 × 160,346.16
  4. Step 4: Simplify right side
    296,312.23x = 65,567,462,768.42
  5. Step 5: Solve for x
    x = 65,567,462,768.42/296,312.23
  6. Step 6: Final answer
    x = 221,278.29

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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.