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Finding the Fourth Proportional to 431,574.30, 603,416.70 and 431,574.30

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Solution

The fourth proportional to 431,574.30, 603,416.70 and 431,574.30 is: 603,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,574.30 : 603,416.70 = 431,574.30 : x
  2. Step 2: Convert to fraction form
    431,574.30/603,416.70 = 431,574.30/x
  3. Step 3: Cross multiply
    431,574.30x = 603,416.70 × 431,574.30
  4. Step 4: Simplify right side
    431,574.30x = 260,419,139,910.81
  5. Step 5: Solve for x
    x = 260,419,139,910.81/431,574.30
  6. Step 6: Final answer
    x = 603,416.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.