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Finding the Fourth Proportional to 464,711.64, 697,012.08 and 127,786.52

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Solution

The fourth proportional to 464,711.64, 697,012.08 and 127,786.52 is: 191,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,711.64 : 697,012.08 = 127,786.52 : x
  2. Step 2: Convert to fraction form
    464,711.64/697,012.08 = 127,786.52/x
  3. Step 3: Cross multiply
    464,711.64x = 697,012.08 × 127,786.52
  4. Step 4: Simplify right side
    464,711.64x = 89,068,748,101.16
  5. Step 5: Solve for x
    x = 89,068,748,101.16/464,711.64
  6. Step 6: Final answer
    x = 191,664.55

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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.