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Finding the Fourth Proportional to 474,774.84, 712,137.42 and 119,792.16

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Solution

The fourth proportional to 474,774.84, 712,137.42 and 119,792.16 is: 179,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,774.84 : 712,137.42 = 119,792.16 : x
  2. Step 2: Convert to fraction form
    474,774.84/712,137.42 = 119,792.16/x
  3. Step 3: Cross multiply
    474,774.84x = 712,137.42 × 119,792.16
  4. Step 4: Simplify right side
    474,774.84x = 85,308,479,758.63
  5. Step 5: Solve for x
    x = 85,308,479,758.63/474,774.84
  6. Step 6: Final answer
    x = 179,681.97

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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.