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Finding the Fourth Proportional to 289,019.40, 432,914.70 and 189,486.60

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Solution

The fourth proportional to 289,019.40, 432,914.70 and 189,486.60 is: 283,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,019.40 : 432,914.70 = 189,486.60 : x
  2. Step 2: Convert to fraction form
    289,019.40/432,914.70 = 189,486.60/x
  3. Step 3: Cross multiply
    289,019.40x = 432,914.70 × 189,486.60
  4. Step 4: Simplify right side
    289,019.40x = 82,031,534,593.02
  5. Step 5: Solve for x
    x = 82,031,534,593.02/289,019.40
  6. Step 6: Final answer
    x = 283,827.09

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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.