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Finding the Fourth Proportional to 460,359.30, 689,372.55 and 367,047.30

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Solution

The fourth proportional to 460,359.30, 689,372.55 and 367,047.30 is: 549,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,359.30 : 689,372.55 = 367,047.30 : x
  2. Step 2: Convert to fraction form
    460,359.30/689,372.55 = 367,047.30/x
  3. Step 3: Cross multiply
    460,359.30x = 689,372.55 × 367,047.30
  4. Step 4: Simplify right side
    460,359.30x = 253,032,333,171.62
  5. Step 5: Solve for x
    x = 253,032,333,171.62/460,359.30
  6. Step 6: Final answer
    x = 549,640.97

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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.