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Finding the Fourth Proportional to 319,527, 479,299.14 and 97,911

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Solution

The fourth proportional to 319,527, 479,299.14 and 97,911 is: 146,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,527 : 479,299.14 = 97,911 : x
  2. Step 2: Convert to fraction form
    319,527/479,299.14 = 97,911/x
  3. Step 3: Cross multiply
    319,527x = 479,299.14 × 97,911
  4. Step 4: Simplify right side
    319,527x = 46,928,658,096.54
  5. Step 5: Solve for x
    x = 46,928,658,096.54/319,527
  6. Step 6: Final answer
    x = 146,869.15

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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.