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Finding the Fourth Proportional to 230,965.48, 346,484.70 and 97,846.60

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Solution

The fourth proportional to 230,965.48, 346,484.70 and 97,846.60 is: 146,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,965.48 : 346,484.70 = 97,846.60 : x
  2. Step 2: Convert to fraction form
    230,965.48/346,484.70 = 97,846.60/x
  3. Step 3: Cross multiply
    230,965.48x = 346,484.70 × 97,846.60
  4. Step 4: Simplify right side
    230,965.48x = 33,902,349,847.02
  5. Step 5: Solve for x
    x = 33,902,349,847.02/230,965.48
  6. Step 6: Final answer
    x = 146,785.35

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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.