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Finding the Fourth Proportional to 569,127.06, 785,389.77 and 314,472.78

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Solution

The fourth proportional to 569,127.06, 785,389.77 and 314,472.78 is: 433,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,127.06 : 785,389.77 = 314,472.78 : x
  2. Step 2: Convert to fraction form
    569,127.06/785,389.77 = 314,472.78/x
  3. Step 3: Cross multiply
    569,127.06x = 785,389.77 × 314,472.78
  4. Step 4: Simplify right side
    569,127.06x = 246,983,704,355.46
  5. Step 5: Solve for x
    x = 246,983,704,355.46/569,127.06
  6. Step 6: Final answer
    x = 433,969.36

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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.