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Finding the Fourth Proportional to 564,310.26, 778,747.74 and 322,598.16

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Solution

The fourth proportional to 564,310.26, 778,747.74 and 322,598.16 is: 445,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,310.26 : 778,747.74 = 322,598.16 : x
  2. Step 2: Convert to fraction form
    564,310.26/778,747.74 = 322,598.16/x
  3. Step 3: Cross multiply
    564,310.26x = 778,747.74 × 322,598.16
  4. Step 4: Simplify right side
    564,310.26x = 251,222,588,028.16
  5. Step 5: Solve for x
    x = 251,222,588,028.16/564,310.26
  6. Step 6: Final answer
    x = 445,185.22

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1.5x scale

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.