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Finding the Fourth Proportional to 601,542.70, 830,097.28 and 343,409.46

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Solution

The fourth proportional to 601,542.70, 830,097.28 and 343,409.46 is: 473,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,542.70 : 830,097.28 = 343,409.46 : x
  2. Step 2: Convert to fraction form
    601,542.70/830,097.28 = 343,409.46/x
  3. Step 3: Cross multiply
    601,542.70x = 830,097.28 × 343,409.46
  4. Step 4: Simplify right side
    601,542.70x = 285,063,258,672.27
  5. Step 5: Solve for x
    x = 285,063,258,672.27/601,542.70
  6. Step 6: Final answer
    x = 473,886.99

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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.