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Finding the Fourth Proportional to 313,421.12, 432,460.32 and 186,136.64

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Solution

The fourth proportional to 313,421.12, 432,460.32 and 186,136.64 is: 256,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,421.12 : 432,460.32 = 186,136.64 : x
  2. Step 2: Convert to fraction form
    313,421.12/432,460.32 = 186,136.64/x
  3. Step 3: Cross multiply
    313,421.12x = 432,460.32 × 186,136.64
  4. Step 4: Simplify right side
    313,421.12x = 80,496,710,898.12
  5. Step 5: Solve for x
    x = 80,496,710,898.12/313,421.12
  6. Step 6: Final answer
    x = 256,832.44

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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.