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Finding the Fourth Proportional to 569,284.34, 785,103.89 and 472,334.70

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Solution

The fourth proportional to 569,284.34, 785,103.89 and 472,334.70 is: 651,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,284.34 : 785,103.89 = 472,334.70 : x
  2. Step 2: Convert to fraction form
    569,284.34/785,103.89 = 472,334.70/x
  3. Step 3: Cross multiply
    569,284.34x = 785,103.89 × 472,334.70
  4. Step 4: Simplify right side
    569,284.34x = 370,831,810,351.98
  5. Step 5: Solve for x
    x = 370,831,810,351.98/569,284.34
  6. Step 6: Final answer
    x = 651,399.98

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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.