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Finding the Fourth Proportional to 702,541.50, 969,242.67 and 460,957.38

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Solution

The fourth proportional to 702,541.50, 969,242.67 and 460,957.38 is: 635,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,541.50 : 969,242.67 = 460,957.38 : x
  2. Step 2: Convert to fraction form
    702,541.50/969,242.67 = 460,957.38/x
  3. Step 3: Cross multiply
    702,541.50x = 969,242.67 × 460,957.38
  4. Step 4: Simplify right side
    702,541.50x = 446,779,561,747.41
  5. Step 5: Solve for x
    x = 446,779,561,747.41/702,541.50
  6. Step 6: Final answer
    x = 635,947.57

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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.