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Finding the Fourth Proportional to 723,600, 998,580.48 and 401,324.16

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Solution

The fourth proportional to 723,600, 998,580.48 and 401,324.16 is: 553,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,600 : 998,580.48 = 401,324.16 : x
  2. Step 2: Convert to fraction form
    723,600/998,580.48 = 401,324.16/x
  3. Step 3: Cross multiply
    723,600x = 998,580.48 × 401,324.16
  4. Step 4: Simplify right side
    723,600x = 400,754,472,328.40
  5. Step 5: Solve for x
    x = 400,754,472,328.40/723,600
  6. Step 6: Final answer
    x = 553,834.26

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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.