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Finding the Fourth Proportional to 694,270.98, 957,820.05 and 435,996

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Solution

The fourth proportional to 694,270.98, 957,820.05 and 435,996 is: 601,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,270.98 : 957,820.05 = 435,996 : x
  2. Step 2: Convert to fraction form
    694,270.98/957,820.05 = 435,996/x
  3. Step 3: Cross multiply
    694,270.98x = 957,820.05 × 435,996
  4. Step 4: Simplify right side
    694,270.98x = 417,605,710,519.80
  5. Step 5: Solve for x
    x = 417,605,710,519.80/694,270.98
  6. Step 6: Final answer
    x = 601,502.47

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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.