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Finding the Fourth Proportional to 464,142.52, 696,223.50 and 148,598.52

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Solution

The fourth proportional to 464,142.52, 696,223.50 and 148,598.52 is: 222,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,142.52 : 696,223.50 = 148,598.52 : x
  2. Step 2: Convert to fraction form
    464,142.52/696,223.50 = 148,598.52/x
  3. Step 3: Cross multiply
    464,142.52x = 696,223.50 × 148,598.52
  4. Step 4: Simplify right side
    464,142.52x = 103,457,781,689.22
  5. Step 5: Solve for x
    x = 103,457,781,689.22/464,142.52
  6. Step 6: Final answer
    x = 222,900.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.