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Finding the Fourth Proportional to 483,101.42, 724,271.02 and 305,233.52

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Solution

The fourth proportional to 483,101.42, 724,271.02 and 305,233.52 is: 457,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,101.42 : 724,271.02 = 305,233.52 : x
  2. Step 2: Convert to fraction form
    483,101.42/724,271.02 = 305,233.52/x
  3. Step 3: Cross multiply
    483,101.42x = 724,271.02 × 305,233.52
  4. Step 4: Simplify right side
    483,101.42x = 221,071,788,484.15
  5. Step 5: Solve for x
    x = 221,071,788,484.15/483,101.42
  6. Step 6: Final answer
    x = 457,609.48

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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.