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Finding the Fourth Proportional to 2,416,042, 3,624,063 and 643,114

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Solution

The fourth proportional to 2,416,042, 3,624,063 and 643,114 is: 964,671

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416,042 : 3,624,063 = 643,114 : x
  2. Step 2: Convert to fraction form
    2,416,042/3,624,063 = 643,114/x
  3. Step 3: Cross multiply
    2,416,042x = 3,624,063 × 643,114
  4. Step 4: Simplify right side
    2,416,042x = 2,330,685,652,182
  5. Step 5: Solve for x
    x = 2,330,685,652,182/2,416,042
  6. Step 6: Final answer
    x = 964,671

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.