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Finding the Fourth Proportional to 700,828.12, 1,051,514.93 and 280,224.28

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Solution

The fourth proportional to 700,828.12, 1,051,514.93 and 280,224.28 is: 420,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,828.12 : 1,051,514.93 = 280,224.28 : x
  2. Step 2: Convert to fraction form
    700,828.12/1,051,514.93 = 280,224.28/x
  3. Step 3: Cross multiply
    700,828.12x = 1,051,514.93 × 280,224.28
  4. Step 4: Simplify right side
    700,828.12x = 294,660,014,168.50
  5. Step 5: Solve for x
    x = 294,660,014,168.50/700,828.12
  6. Step 6: Final answer
    x = 420,445.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.