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Finding the Fourth Proportional to 289,150.68, 433,618.14 and 99,557.48

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Solution

The fourth proportional to 289,150.68, 433,618.14 and 99,557.48 is: 149,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,150.68 : 433,618.14 = 99,557.48 : x
  2. Step 2: Convert to fraction form
    289,150.68/433,618.14 = 99,557.48/x
  3. Step 3: Cross multiply
    289,150.68x = 433,618.14 × 99,557.48
  4. Step 4: Simplify right side
    289,150.68x = 43,169,929,300.69
  5. Step 5: Solve for x
    x = 43,169,929,300.69/289,150.68
  6. Step 6: Final answer
    x = 149,299.08

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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.