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Finding the Fourth Proportional to 466,628, 644,145.68 and 313,754.80

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Solution

The fourth proportional to 466,628, 644,145.68 and 313,754.80 is: 433,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,628 : 644,145.68 = 313,754.80 : x
  2. Step 2: Convert to fraction form
    466,628/644,145.68 = 313,754.80/x
  3. Step 3: Cross multiply
    466,628x = 644,145.68 × 313,754.80
  4. Step 4: Simplify right side
    466,628x = 202,103,798,999.26
  5. Step 5: Solve for x
    x = 202,103,798,999.26/466,628
  6. Step 6: Final answer
    x = 433,115.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.