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Finding the Fourth Proportional to 289,153.76, 433,660.77 and 111,547.49

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Solution

The fourth proportional to 289,153.76, 433,660.77 and 111,547.49 is: 167,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,153.76 : 433,660.77 = 111,547.49 : x
  2. Step 2: Convert to fraction form
    289,153.76/433,660.77 = 111,547.49/x
  3. Step 3: Cross multiply
    289,153.76x = 433,660.77 × 111,547.49
  4. Step 4: Simplify right side
    289,153.76x = 48,373,768,236.66
  5. Step 5: Solve for x
    x = 48,373,768,236.66/289,153.76
  6. Step 6: Final answer
    x = 167,294.28

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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.