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Finding the Fourth Proportional to 602,085.36, 830,916.20 and 397,777.86

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Solution

The fourth proportional to 602,085.36, 830,916.20 and 397,777.86 is: 548,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,085.36 : 830,916.20 = 397,777.86 : x
  2. Step 2: Convert to fraction form
    602,085.36/830,916.20 = 397,777.86/x
  3. Step 3: Cross multiply
    602,085.36x = 830,916.20 × 397,777.86
  4. Step 4: Simplify right side
    602,085.36x = 330,520,067,875.33
  5. Step 5: Solve for x
    x = 330,520,067,875.33/602,085.36
  6. Step 6: Final answer
    x = 548,958.82

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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.