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Finding the Fourth Proportional to 645,435.72, 967,989.06 and 457,659.90

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Solution

The fourth proportional to 645,435.72, 967,989.06 and 457,659.90 is: 686,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,435.72 : 967,989.06 = 457,659.90 : x
  2. Step 2: Convert to fraction form
    645,435.72/967,989.06 = 457,659.90/x
  3. Step 3: Cross multiply
    645,435.72x = 967,989.06 × 457,659.90
  4. Step 4: Simplify right side
    645,435.72x = 443,009,776,400.69
  5. Step 5: Solve for x
    x = 443,009,776,400.69/645,435.72
  6. Step 6: Final answer
    x = 686,373.19

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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.