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Finding the Fourth Proportional to 602,010.54, 830,811.87 and 333,738.54

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Solution

The fourth proportional to 602,010.54, 830,811.87 and 333,738.54 is: 460,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,010.54 : 830,811.87 = 333,738.54 : x
  2. Step 2: Convert to fraction form
    602,010.54/830,811.87 = 333,738.54/x
  3. Step 3: Cross multiply
    602,010.54x = 830,811.87 × 333,738.54
  4. Step 4: Simplify right side
    602,010.54x = 277,273,940,508.47
  5. Step 5: Solve for x
    x = 277,273,940,508.47/602,010.54
  6. Step 6: Final answer
    x = 460,579.88

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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.