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Finding the Fourth Proportional to 504,132.80, 695,677.02 and 313,142.36

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Solution

The fourth proportional to 504,132.80, 695,677.02 and 313,142.36 is: 432,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,132.80 : 695,677.02 = 313,142.36 : x
  2. Step 2: Convert to fraction form
    504,132.80/695,677.02 = 313,142.36/x
  3. Step 3: Cross multiply
    504,132.80x = 695,677.02 × 313,142.36
  4. Step 4: Simplify right side
    504,132.80x = 217,845,943,840.57
  5. Step 5: Solve for x
    x = 217,845,943,840.57/504,132.80
  6. Step 6: Final answer
    x = 432,120.16

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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.