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Finding the Fourth Proportional to 289,049.80, 433,574.70 and 122,816.20

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Solution

The fourth proportional to 289,049.80, 433,574.70 and 122,816.20 is: 184,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,049.80 : 433,574.70 = 122,816.20 : x
  2. Step 2: Convert to fraction form
    289,049.80/433,574.70 = 122,816.20/x
  3. Step 3: Cross multiply
    289,049.80x = 433,574.70 × 122,816.20
  4. Step 4: Simplify right side
    289,049.80x = 53,249,997,070.14
  5. Step 5: Solve for x
    x = 53,249,997,070.14/289,049.80
  6. Step 6: Final answer
    x = 184,224.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.