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Finding the Fourth Proportional to 601,406.70, 829,919.48 and 343,296.96

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Solution

The fourth proportional to 601,406.70, 829,919.48 and 343,296.96 is: 473,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,406.70 : 829,919.48 = 343,296.96 : x
  2. Step 2: Convert to fraction form
    601,406.70/829,919.48 = 343,296.96/x
  3. Step 3: Cross multiply
    601,406.70x = 829,919.48 × 343,296.96
  4. Step 4: Simplify right side
    601,406.70x = 284,908,834,528.78
  5. Step 5: Solve for x
    x = 284,908,834,528.78/601,406.70
  6. Step 6: Final answer
    x = 473,737.38

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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.