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Finding the Fourth Proportional to 569,053.44, 785,325.24 and 314,399.16

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Solution

The fourth proportional to 569,053.44, 785,325.24 and 314,399.16 is: 433,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,053.44 : 785,325.24 = 314,399.16 : x
  2. Step 2: Convert to fraction form
    569,053.44/785,325.24 = 314,399.16/x
  3. Step 3: Cross multiply
    569,053.44x = 785,325.24 × 314,399.16
  4. Step 4: Simplify right side
    569,053.44x = 246,905,595,782.80
  5. Step 5: Solve for x
    x = 246,905,595,782.80/569,053.44
  6. Step 6: Final answer
    x = 433,888.24

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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.