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Finding the Fourth Proportional to 289,019.60, 433,529.40 and 277,209.80

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Solution

The fourth proportional to 289,019.60, 433,529.40 and 277,209.80 is: 415,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.60 : 433,529.40 = 277,209.80 : x
  2. Step 2: Convert to fraction form
    289,019.60/433,529.40 = 277,209.80/x
  3. Step 3: Cross multiply
    289,019.60x = 433,529.40 × 277,209.80
  4. Step 4: Simplify right side
    289,019.60x = 120,178,598,268.12
  5. Step 5: Solve for x
    x = 120,178,598,268.12/289,019.60
  6. Step 6: Final answer
    x = 415,814.70

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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.