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Finding the Fourth Proportional to 464,429.80, 696,644.70 and 148,918.60

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Solution

The fourth proportional to 464,429.80, 696,644.70 and 148,918.60 is: 223,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,429.80 : 696,644.70 = 148,918.60 : x
  2. Step 2: Convert to fraction form
    464,429.80/696,644.70 = 148,918.60/x
  3. Step 3: Cross multiply
    464,429.80x = 696,644.70 × 148,918.60
  4. Step 4: Simplify right side
    464,429.80x = 103,743,353,421.42
  5. Step 5: Solve for x
    x = 103,743,353,421.42/464,429.80
  6. Step 6: Final answer
    x = 223,377.90

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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.