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Finding the Fourth Proportional to 407,586.42, 611,381.67 and 238,988.16

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Solution

The fourth proportional to 407,586.42, 611,381.67 and 238,988.16 is: 358,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,586.42 : 611,381.67 = 238,988.16 : x
  2. Step 2: Convert to fraction form
    407,586.42/611,381.67 = 238,988.16/x
  3. Step 3: Cross multiply
    407,586.42x = 611,381.67 × 238,988.16
  4. Step 4: Simplify right side
    407,586.42x = 146,112,980,371.03
  5. Step 5: Solve for x
    x = 146,112,980,371.03/407,586.42
  6. Step 6: Final answer
    x = 358,483.44

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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.