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Finding the Fourth Proportional to 761,742, 1,051,204.12 and 422,210.25

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Solution

The fourth proportional to 761,742, 1,051,204.12 and 422,210.25 is: 582,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,742 : 1,051,204.12 = 422,210.25 : x
  2. Step 2: Convert to fraction form
    761,742/1,051,204.12 = 422,210.25/x
  3. Step 3: Cross multiply
    761,742x = 1,051,204.12 × 422,210.25
  4. Step 4: Simplify right side
    761,742x = 443,829,153,250.70
  5. Step 5: Solve for x
    x = 443,829,153,250.70/761,742
  6. Step 6: Final answer
    x = 582,650.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.