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Finding the Fourth Proportional to 504,078.40, 695,640.72 and 310,412.80

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Solution

The fourth proportional to 504,078.40, 695,640.72 and 310,412.80 is: 428,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,078.40 : 695,640.72 = 310,412.80 : x
  2. Step 2: Convert to fraction form
    504,078.40/695,640.72 = 310,412.80/x
  3. Step 3: Cross multiply
    504,078.40x = 695,640.72 × 310,412.80
  4. Step 4: Simplify right side
    504,078.40x = 215,935,783,689.22
  5. Step 5: Solve for x
    x = 215,935,783,689.22/504,078.40
  6. Step 6: Final answer
    x = 428,377.38

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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.