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Finding the Fourth Proportional to 305,864.55, 457,922.03 and 305,864.55

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Solution

The fourth proportional to 305,864.55, 457,922.03 and 305,864.55 is: 457,922.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864.55 : 457,922.03 = 305,864.55 : x
  2. Step 2: Convert to fraction form
    305,864.55/457,922.03 = 305,864.55/x
  3. Step 3: Cross multiply
    305,864.55x = 457,922.03 × 305,864.55
  4. Step 4: Simplify right side
    305,864.55x = 140,062,114,111.71
  5. Step 5: Solve for x
    x = 140,062,114,111.71/305,864.55
  6. Step 6: Final answer
    x = 457,922.03

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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.