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Finding the Fourth Proportional to 334,625.16, 501,901 and 97,970.16

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Solution

The fourth proportional to 334,625.16, 501,901 and 97,970.16 is: 146,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,625.16 : 501,901 = 97,970.16 : x
  2. Step 2: Convert to fraction form
    334,625.16/501,901 = 97,970.16/x
  3. Step 3: Cross multiply
    334,625.16x = 501,901 × 97,970.16
  4. Step 4: Simplify right side
    334,625.16x = 49,171,321,274.16
  5. Step 5: Solve for x
    x = 49,171,321,274.16/334,625.16
  6. Step 6: Final answer
    x = 146,944.48

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1.5x scale

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.