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Finding the Fourth Proportional to 464,687.08, 697,013.05 and 127,718.98

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Solution

The fourth proportional to 464,687.08, 697,013.05 and 127,718.98 is: 191,573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,687.08 : 697,013.05 = 127,718.98 : x
  2. Step 2: Convert to fraction form
    464,687.08/697,013.05 = 127,718.98/x
  3. Step 3: Cross multiply
    464,687.08x = 697,013.05 × 127,718.98
  4. Step 4: Simplify right side
    464,687.08x = 89,021,793,970.33
  5. Step 5: Solve for x
    x = 89,021,793,970.33/464,687.08
  6. Step 6: Final answer
    x = 191,573.64

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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.