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Finding the Fourth Proportional to 434,970.30, 652,455.45 and 150,660.30

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Solution

The fourth proportional to 434,970.30, 652,455.45 and 150,660.30 is: 225,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,970.30 : 652,455.45 = 150,660.30 : x
  2. Step 2: Convert to fraction form
    434,970.30/652,455.45 = 150,660.30/x
  3. Step 3: Cross multiply
    434,970.30x = 652,455.45 × 150,660.30
  4. Step 4: Simplify right side
    434,970.30x = 98,299,133,833.64
  5. Step 5: Solve for x
    x = 98,299,133,833.64/434,970.30
  6. Step 6: Final answer
    x = 225,990.45

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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.