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Finding the Fourth Proportional to 603,106.28, 832,271.46 and 334,817

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Solution

The fourth proportional to 603,106.28, 832,271.46 and 334,817 is: 462,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,106.28 : 832,271.46 = 334,817 : x
  2. Step 2: Convert to fraction form
    603,106.28/832,271.46 = 334,817/x
  3. Step 3: Cross multiply
    603,106.28x = 832,271.46 × 334,817
  4. Step 4: Simplify right side
    603,106.28x = 278,658,633,422.82
  5. Step 5: Solve for x
    x = 278,658,633,422.82/603,106.28
  6. Step 6: Final answer
    x = 462,039.02

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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.