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Finding the Fourth Proportional to 569,198.22, 785,462.61 and 314,533

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Solution

The fourth proportional to 569,198.22, 785,462.61 and 314,533 is: 434,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,198.22 : 785,462.61 = 314,533 : x
  2. Step 2: Convert to fraction form
    569,198.22/785,462.61 = 314,533/x
  3. Step 3: Cross multiply
    569,198.22x = 785,462.61 × 314,533
  4. Step 4: Simplify right side
    569,198.22x = 247,053,911,111.13
  5. Step 5: Solve for x
    x = 247,053,911,111.13/569,198.22
  6. Step 6: Final answer
    x = 434,038.45

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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.