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Finding the Fourth Proportional to 2,457,765, 3,687,269.58 and 684,837

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Solution

The fourth proportional to 2,457,765, 3,687,269.58 and 684,837 is: 1,027,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,765 : 3,687,269.58 = 684,837 : x
  2. Step 2: Convert to fraction form
    2,457,765/3,687,269.58 = 684,837/x
  3. Step 3: Cross multiply
    2,457,765x = 3,687,269.58 × 684,837
  4. Step 4: Simplify right side
    2,457,765x = 2,525,178,637,358.46
  5. Step 5: Solve for x
    x = 2,525,178,637,358.46/2,457,765
  6. Step 6: Final answer
    x = 1,027,428.84

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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.