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Finding the Fourth Proportional to 310,805.10, 466,090.47 and 100,386.54

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Solution

The fourth proportional to 310,805.10, 466,090.47 and 100,386.54 is: 150,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,805.10 : 466,090.47 = 100,386.54 : x
  2. Step 2: Convert to fraction form
    310,805.10/466,090.47 = 100,386.54/x
  3. Step 3: Cross multiply
    310,805.10x = 466,090.47 × 100,386.54
  4. Step 4: Simplify right side
    310,805.10x = 46,789,209,610.27
  5. Step 5: Solve for x
    x = 46,789,209,610.27/310,805.10
  6. Step 6: Final answer
    x = 150,541.96

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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.