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Finding the Fourth Proportional to 736,137, 1,015,453.26 and 463,737.24

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Solution

The fourth proportional to 736,137, 1,015,453.26 and 463,737.24 is: 639,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,137 : 1,015,453.26 = 463,737.24 : x
  2. Step 2: Convert to fraction form
    736,137/1,015,453.26 = 463,737.24/x
  3. Step 3: Cross multiply
    736,137x = 1,015,453.26 × 463,737.24
  4. Step 4: Simplify right side
    736,137x = 470,903,492,141.40
  5. Step 5: Solve for x
    x = 470,903,492,141.40/736,137
  6. Step 6: Final answer
    x = 639,695.45

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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.