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Finding the Fourth Proportional to 599,547.53, 899,462.84 and 194,738.49

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Solution

The fourth proportional to 599,547.53, 899,462.84 and 194,738.49 is: 292,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,547.53 : 899,462.84 = 194,738.49 : x
  2. Step 2: Convert to fraction form
    599,547.53/899,462.84 = 194,738.49/x
  3. Step 3: Cross multiply
    599,547.53x = 899,462.84 × 194,738.49
  4. Step 4: Simplify right side
    599,547.53x = 175,160,035,272.71
  5. Step 5: Solve for x
    x = 175,160,035,272.71/599,547.53
  6. Step 6: Final answer
    x = 292,153.71

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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.