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Finding the Fourth Proportional to 467,463.96, 700,802.28 and 186,828.12

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Solution

The fourth proportional to 467,463.96, 700,802.28 and 186,828.12 is: 280,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,463.96 : 700,802.28 = 186,828.12 : x
  2. Step 2: Convert to fraction form
    467,463.96/700,802.28 = 186,828.12/x
  3. Step 3: Cross multiply
    467,463.96x = 700,802.28 × 186,828.12
  4. Step 4: Simplify right side
    467,463.96x = 130,929,572,464.11
  5. Step 5: Solve for x
    x = 130,929,572,464.11/467,463.96
  6. Step 6: Final answer
    x = 280,084.85

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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.