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Finding the Fourth Proportional to 595,014.34, 820,917 and 380,278.27

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Solution

The fourth proportional to 595,014.34, 820,917 and 380,278.27 is: 524,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,014.34 : 820,917 = 380,278.27 : x
  2. Step 2: Convert to fraction form
    595,014.34/820,917 = 380,278.27/x
  3. Step 3: Cross multiply
    595,014.34x = 820,917 × 380,278.27
  4. Step 4: Simplify right side
    595,014.34x = 312,176,896,573.59
  5. Step 5: Solve for x
    x = 312,176,896,573.59/595,014.34
  6. Step 6: Final answer
    x = 524,654.41

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1.5x scale

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.