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Finding the Fourth Proportional to 735,907.16, 1,015,636.01 and 409,252.71

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Solution

The fourth proportional to 735,907.16, 1,015,636.01 and 409,252.71 is: 564,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,907.16 : 1,015,636.01 = 409,252.71 : x
  2. Step 2: Convert to fraction form
    735,907.16/1,015,636.01 = 409,252.71/x
  3. Step 3: Cross multiply
    735,907.16x = 1,015,636.01 × 409,252.71
  4. Step 4: Simplify right side
    735,907.16x = 415,651,787,419.82
  5. Step 5: Solve for x
    x = 415,651,787,419.82/735,907.16
  6. Step 6: Final answer
    x = 564,815.53

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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.