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Finding the Fourth Proportional to 569,360.61, 785,650.19 and 314,667.45

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Solution

The fourth proportional to 569,360.61, 785,650.19 and 314,667.45 is: 434,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,360.61 : 785,650.19 = 314,667.45 : x
  2. Step 2: Convert to fraction form
    569,360.61/785,650.19 = 314,667.45/x
  3. Step 3: Cross multiply
    569,360.61x = 785,650.19 × 314,667.45
  4. Step 4: Simplify right side
    569,360.61x = 247,218,540,305.98
  5. Step 5: Solve for x
    x = 247,218,540,305.98/569,360.61
  6. Step 6: Final answer
    x = 434,203.80

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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.