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Finding the Fourth Proportional to 460,690.38, 635,461.74 and 317,201.22

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Solution

The fourth proportional to 460,690.38, 635,461.74 and 317,201.22 is: 437,537.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,690.38 : 635,461.74 = 317,201.22 : x
  2. Step 2: Convert to fraction form
    460,690.38/635,461.74 = 317,201.22/x
  3. Step 3: Cross multiply
    460,690.38x = 635,461.74 × 317,201.22
  4. Step 4: Simplify right side
    460,690.38x = 201,569,239,191.32
  5. Step 5: Solve for x
    x = 201,569,239,191.32/460,690.38
  6. Step 6: Final answer
    x = 437,537.33

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1.5x scale

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.