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Finding the Fourth Proportional to 294,873.12, 406,924.92 and 160,737.12

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Solution

The fourth proportional to 294,873.12, 406,924.92 and 160,737.12 is: 221,817.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,873.12 : 406,924.92 = 160,737.12 : x
  2. Step 2: Convert to fraction form
    294,873.12/406,924.92 = 160,737.12/x
  3. Step 3: Cross multiply
    294,873.12x = 406,924.92 × 160,737.12
  4. Step 4: Simplify right side
    294,873.12x = 65,407,939,697.03
  5. Step 5: Solve for x
    x = 65,407,939,697.03/294,873.12
  6. Step 6: Final answer
    x = 221,817.23

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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.