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Finding the Fourth Proportional to 382,234.16, 573,349.44 and 97,924.16

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Solution

The fourth proportional to 382,234.16, 573,349.44 and 97,924.16 is: 146,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,234.16 : 573,349.44 = 97,924.16 : x
  2. Step 2: Convert to fraction form
    382,234.16/573,349.44 = 97,924.16/x
  3. Step 3: Cross multiply
    382,234.16x = 573,349.44 × 97,924.16
  4. Step 4: Simplify right side
    382,234.16x = 56,144,762,298.47
  5. Step 5: Solve for x
    x = 56,144,762,298.47/382,234.16
  6. Step 6: Final answer
    x = 146,885.78

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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.