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Finding the Fourth Proportional to 314,164.26, 467,692.89 and 312,295.89

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Solution

The fourth proportional to 314,164.26, 467,692.89 and 312,295.89 is: 464,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,164.26 : 467,692.89 = 312,295.89 : x
  2. Step 2: Convert to fraction form
    314,164.26/467,692.89 = 312,295.89/x
  3. Step 3: Cross multiply
    314,164.26x = 467,692.89 × 312,295.89
  4. Step 4: Simplify right side
    314,164.26x = 146,058,567,329.22
  5. Step 5: Solve for x
    x = 146,058,567,329.22/314,164.26
  6. Step 6: Final answer
    x = 464,911.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.