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Finding the Fourth Proportional to 595,020.70, 820,923.35 and 380,286.46

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Solution

The fourth proportional to 595,020.70, 820,923.35 and 380,286.46 is: 524,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,020.70 : 820,923.35 = 380,286.46 : x
  2. Step 2: Convert to fraction form
    595,020.70/820,923.35 = 380,286.46/x
  3. Step 3: Cross multiply
    595,020.70x = 820,923.35 × 380,286.46
  4. Step 4: Simplify right side
    595,020.70x = 312,186,034,702.84
  5. Step 5: Solve for x
    x = 312,186,034,702.84/595,020.70
  6. Step 6: Final answer
    x = 524,664.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.