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Finding the Fourth Proportional to 736,761.16, 1,016,648 and 414,464.58

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Solution

The fourth proportional to 736,761.16, 1,016,648 and 414,464.58 is: 571,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,761.16 : 1,016,648 = 414,464.58 : x
  2. Step 2: Convert to fraction form
    736,761.16/1,016,648 = 414,464.58/x
  3. Step 3: Cross multiply
    736,761.16x = 1,016,648 × 414,464.58
  4. Step 4: Simplify right side
    736,761.16x = 421,364,586,327.84
  5. Step 5: Solve for x
    x = 421,364,586,327.84/736,761.16
  6. Step 6: Final answer
    x = 571,914.77

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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.