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Finding the Fourth Proportional to 827,775.63, 1,142,340.48 and 505,440.99

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Solution

The fourth proportional to 827,775.63, 1,142,340.48 and 505,440.99 is: 697,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,775.63 : 1,142,340.48 = 505,440.99 : x
  2. Step 2: Convert to fraction form
    827,775.63/1,142,340.48 = 505,440.99/x
  3. Step 3: Cross multiply
    827,775.63x = 1,142,340.48 × 505,440.99
  4. Step 4: Simplify right side
    827,775.63x = 577,385,703,128.28
  5. Step 5: Solve for x
    x = 577,385,703,128.28/827,775.63
  6. Step 6: Final answer
    x = 697,514.74

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