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Finding the Fourth Proportional to 501,157.94, 691,698.49 and 297,322.04

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Solution

The fourth proportional to 501,157.94, 691,698.49 and 297,322.04 is: 410,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,157.94 : 691,698.49 = 297,322.04 : x
  2. Step 2: Convert to fraction form
    501,157.94/691,698.49 = 297,322.04/x
  3. Step 3: Cross multiply
    501,157.94x = 691,698.49 × 297,322.04
  4. Step 4: Simplify right side
    501,157.94x = 205,657,206,111.72
  5. Step 5: Solve for x
    x = 205,657,206,111.72/501,157.94
  6. Step 6: Final answer
    x = 410,364.06

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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.