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Finding the Fourth Proportional to 464,851.14, 697,184.89 and 127,804.87

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Solution

The fourth proportional to 464,851.14, 697,184.89 and 127,804.87 is: 191,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,851.14 : 697,184.89 = 127,804.87 : x
  2. Step 2: Convert to fraction form
    464,851.14/697,184.89 = 127,804.87/x
  3. Step 3: Cross multiply
    464,851.14x = 697,184.89 × 127,804.87
  4. Step 4: Simplify right side
    464,851.14x = 89,103,624,232.41
  5. Step 5: Solve for x
    x = 89,103,624,232.41/464,851.14
  6. Step 6: Final answer
    x = 191,682.06

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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.