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Finding the Fourth Proportional to 569,180.34, 785,468.61 and 314,529.30

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Solution

The fourth proportional to 569,180.34, 785,468.61 and 314,529.30 is: 434,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,180.34 : 785,468.61 = 314,529.30 : x
  2. Step 2: Convert to fraction form
    569,180.34/785,468.61 = 314,529.30/x
  3. Step 3: Cross multiply
    569,180.34x = 785,468.61 × 314,529.30
  4. Step 4: Simplify right side
    569,180.34x = 247,052,892,075.27
  5. Step 5: Solve for x
    x = 247,052,892,075.27/569,180.34
  6. Step 6: Final answer
    x = 434,050.29

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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.