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Finding the Fourth Proportional to 464,140.53, 696,220.51 and 148,596.52

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Solution

The fourth proportional to 464,140.53, 696,220.51 and 148,596.52 is: 222,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,140.53 : 696,220.51 = 148,596.52 : x
  2. Step 2: Convert to fraction form
    464,140.53/696,220.51 = 148,596.52/x
  3. Step 3: Cross multiply
    464,140.53x = 696,220.51 × 148,596.52
  4. Step 4: Simplify right side
    464,140.53x = 103,455,944,195.64
  5. Step 5: Solve for x
    x = 103,455,944,195.64/464,140.53
  6. Step 6: Final answer
    x = 222,897.89

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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.