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Finding the Fourth Proportional to 464,102.84, 696,256.32 and 148,591.64

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Solution

The fourth proportional to 464,102.84, 696,256.32 and 148,591.64 is: 222,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,102.84 : 696,256.32 = 148,591.64 : x
  2. Step 2: Convert to fraction form
    464,102.84/696,256.32 = 148,591.64/x
  3. Step 3: Cross multiply
    464,102.84x = 696,256.32 × 148,591.64
  4. Step 4: Simplify right side
    464,102.84x = 103,457,868,449.17
  5. Step 5: Solve for x
    x = 103,457,868,449.17/464,102.84
  6. Step 6: Final answer
    x = 222,920.14

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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.