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Finding the Fourth Proportional to 569,312.83, 785,692.46 and 314,658.55

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Solution

The fourth proportional to 569,312.83, 785,692.46 and 314,658.55 is: 434,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,312.83 : 785,692.46 = 314,658.55 : x
  2. Step 2: Convert to fraction form
    569,312.83/785,692.46 = 314,658.55/x
  3. Step 3: Cross multiply
    569,312.83x = 785,692.46 × 314,658.55
  4. Step 4: Simplify right side
    569,312.83x = 247,224,850,209.53
  5. Step 5: Solve for x
    x = 247,224,850,209.53/569,312.83
  6. Step 6: Final answer
    x = 434,251.32

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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.