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Finding the Fourth Proportional to 380,851.70, 571,277.55 and 96,541.70

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Solution

The fourth proportional to 380,851.70, 571,277.55 and 96,541.70 is: 144,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,851.70 : 571,277.55 = 96,541.70 : x
  2. Step 2: Convert to fraction form
    380,851.70/571,277.55 = 96,541.70/x
  3. Step 3: Cross multiply
    380,851.70x = 571,277.55 × 96,541.70
  4. Step 4: Simplify right side
    380,851.70x = 55,152,105,848.84
  5. Step 5: Solve for x
    x = 55,152,105,848.84/380,851.70
  6. Step 6: Final answer
    x = 144,812.55

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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.