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Finding the Fourth Proportional to 501,761.50, 692,430.59 and 283,966.22

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Solution

The fourth proportional to 501,761.50, 692,430.59 and 283,966.22 is: 391,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,761.50 : 692,430.59 = 283,966.22 : x
  2. Step 2: Convert to fraction form
    501,761.50/692,430.59 = 283,966.22/x
  3. Step 3: Cross multiply
    501,761.50x = 692,430.59 × 283,966.22
  4. Step 4: Simplify right side
    501,761.50x = 196,626,899,695.66
  5. Step 5: Solve for x
    x = 196,626,899,695.66/501,761.50
  6. Step 6: Final answer
    x = 391,873.23

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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.