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Finding the Fourth Proportional to 653,785.83, 902,247.66 and 367,300.17

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Solution

The fourth proportional to 653,785.83, 902,247.66 and 367,300.17 is: 506,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,785.83 : 902,247.66 = 367,300.17 : x
  2. Step 2: Convert to fraction form
    653,785.83/902,247.66 = 367,300.17/x
  3. Step 3: Cross multiply
    653,785.83x = 902,247.66 × 367,300.17
  4. Step 4: Simplify right side
    653,785.83x = 331,395,718,900.10
  5. Step 5: Solve for x
    x = 331,395,718,900.10/653,785.83
  6. Step 6: Final answer
    x = 506,887.28

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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.