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Finding the Fourth Proportional to 739,699.76, 1,020,775.72 and 413,017.84

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Solution

The fourth proportional to 739,699.76, 1,020,775.72 and 413,017.84 is: 569,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,699.76 : 1,020,775.72 = 413,017.84 : x
  2. Step 2: Convert to fraction form
    739,699.76/1,020,775.72 = 413,017.84/x
  3. Step 3: Cross multiply
    739,699.76x = 1,020,775.72 × 413,017.84
  4. Step 4: Simplify right side
    739,699.76x = 421,598,582,998.85
  5. Step 5: Solve for x
    x = 421,598,582,998.85/739,699.76
  6. Step 6: Final answer
    x = 569,959.06

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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.