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Finding the Fourth Proportional to 1,297,341.02, 1,946,105.49 and 498,623.51

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Solution

The fourth proportional to 1,297,341.02, 1,946,105.49 and 498,623.51 is: 747,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,341.02 : 1,946,105.49 = 498,623.51 : x
  2. Step 2: Convert to fraction form
    1,297,341.02/1,946,105.49 = 498,623.51/x
  3. Step 3: Cross multiply
    1,297,341.02x = 1,946,105.49 × 498,623.51
  4. Step 4: Simplify right side
    1,297,341.02x = 970,373,950,254.07
  5. Step 5: Solve for x
    x = 970,373,950,254.07/1,297,341.02
  6. Step 6: Final answer
    x = 747,971.38

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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.