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Finding the Fourth Proportional to 411,464.86, 614,463.19 and 407,011.58

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Solution

The fourth proportional to 411,464.86, 614,463.19 and 407,011.58 is: 607,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,464.86 : 614,463.19 = 407,011.58 : x
  2. Step 2: Convert to fraction form
    411,464.86/614,463.19 = 407,011.58/x
  3. Step 3: Cross multiply
    411,464.86x = 614,463.19 × 407,011.58
  4. Step 4: Simplify right side
    411,464.86x = 250,093,633,813.74
  5. Step 5: Solve for x
    x = 250,093,633,813.74/411,464.86
  6. Step 6: Final answer
    x = 607,812.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.