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Finding the Fourth Proportional to 464,112.84, 696,271.32 and 148,601.64

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Solution

The fourth proportional to 464,112.84, 696,271.32 and 148,601.64 is: 222,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,112.84 : 696,271.32 = 148,601.64 : x
  2. Step 2: Convert to fraction form
    464,112.84/696,271.32 = 148,601.64/x
  3. Step 3: Cross multiply
    464,112.84x = 696,271.32 × 148,601.64
  4. Step 4: Simplify right side
    464,112.84x = 103,467,060,036.97
  5. Step 5: Solve for x
    x = 103,467,060,036.97/464,112.84
  6. Step 6: Final answer
    x = 222,935.14

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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.