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Finding the Fourth Proportional to 461,762.76, 692,637.64 and 146,219.56

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Solution

The fourth proportional to 461,762.76, 692,637.64 and 146,219.56 is: 219,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,762.76 : 692,637.64 = 146,219.56 : x
  2. Step 2: Convert to fraction form
    461,762.76/692,637.64 = 146,219.56/x
  3. Step 3: Cross multiply
    461,762.76x = 692,637.64 × 146,219.56
  4. Step 4: Simplify right side
    461,762.76x = 101,277,170,960.24
  5. Step 5: Solve for x
    x = 101,277,170,960.24/461,762.76
  6. Step 6: Final answer
    x = 219,327.28

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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.