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Finding the Fourth Proportional to 464,804.48, 697,091.90 and 127,828.78

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Solution

The fourth proportional to 464,804.48, 697,091.90 and 127,828.78 is: 191,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,804.48 : 697,091.90 = 127,828.78 : x
  2. Step 2: Convert to fraction form
    464,804.48/697,091.90 = 127,828.78/x
  3. Step 3: Cross multiply
    464,804.48x = 697,091.90 × 127,828.78
  4. Step 4: Simplify right side
    464,804.48x = 89,108,409,023.67
  5. Step 5: Solve for x
    x = 89,108,409,023.67/464,804.48
  6. Step 6: Final answer
    x = 191,711.60

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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.