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Finding the Fourth Proportional to 364,829.45, 547,246.01 and 164,915.78

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Solution

The fourth proportional to 364,829.45, 547,246.01 and 164,915.78 is: 247,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,829.45 : 547,246.01 = 164,915.78 : x
  2. Step 2: Convert to fraction form
    364,829.45/547,246.01 = 164,915.78/x
  3. Step 3: Cross multiply
    364,829.45x = 547,246.01 × 164,915.78
  4. Step 4: Simplify right side
    364,829.45x = 90,249,502,591.04
  5. Step 5: Solve for x
    x = 90,249,502,591.04/364,829.45
  6. Step 6: Final answer
    x = 247,374.50

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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.