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Finding the Fourth Proportional to 456,282.83, 629,693.93 and 262,719.29

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Solution

The fourth proportional to 456,282.83, 629,693.93 and 262,719.29 is: 362,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,282.83 : 629,693.93 = 262,719.29 : x
  2. Step 2: Convert to fraction form
    456,282.83/629,693.93 = 262,719.29/x
  3. Step 3: Cross multiply
    456,282.83x = 629,693.93 × 262,719.29
  4. Step 4: Simplify right side
    456,282.83x = 165,432,742,206.91
  5. Step 5: Solve for x
    x = 165,432,742,206.91/456,282.83
  6. Step 6: Final answer
    x = 362,566.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.