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Finding the Fourth Proportional to 464,869.60, 697,304.40 and 149,358.40

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Solution

The fourth proportional to 464,869.60, 697,304.40 and 149,358.40 is: 224,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,869.60 : 697,304.40 = 149,358.40 : x
  2. Step 2: Convert to fraction form
    464,869.60/697,304.40 = 149,358.40/x
  3. Step 3: Cross multiply
    464,869.60x = 697,304.40 × 149,358.40
  4. Step 4: Simplify right side
    464,869.60x = 104,148,269,496.96
  5. Step 5: Solve for x
    x = 104,148,269,496.96/464,869.60
  6. Step 6: Final answer
    x = 224,037.60

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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.