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Finding the Fourth Proportional to 567,706.25, 850,595.40 and 342,593.64

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Solution

The fourth proportional to 567,706.25, 850,595.40 and 342,593.64 is: 513,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,706.25 : 850,595.40 = 342,593.64 : x
  2. Step 2: Convert to fraction form
    567,706.25/850,595.40 = 342,593.64/x
  3. Step 3: Cross multiply
    567,706.25x = 850,595.40 × 342,593.64
  4. Step 4: Simplify right side
    567,706.25x = 291,408,577,442.99
  5. Step 5: Solve for x
    x = 291,408,577,442.99/567,706.25
  6. Step 6: Final answer
    x = 513,308.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.