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Finding the Fourth Proportional to 461,993.29, 637,544.01 and 258,047.11

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Solution

The fourth proportional to 461,993.29, 637,544.01 and 258,047.11 is: 356,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,993.29 : 637,544.01 = 258,047.11 : x
  2. Step 2: Convert to fraction form
    461,993.29/637,544.01 = 258,047.11/x
  3. Step 3: Cross multiply
    461,993.29x = 637,544.01 × 258,047.11
  4. Step 4: Simplify right side
    461,993.29x = 164,516,386,090.59
  5. Step 5: Solve for x
    x = 164,516,386,090.59/461,993.29
  6. Step 6: Final answer
    x = 356,101.25

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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.