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Finding the Fourth Proportional to 972,462.70, 1,458,694.05 and 411,424.30

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Solution

The fourth proportional to 972,462.70, 1,458,694.05 and 411,424.30 is: 617,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,462.70 : 1,458,694.05 = 411,424.30 : x
  2. Step 2: Convert to fraction form
    972,462.70/1,458,694.05 = 411,424.30/x
  3. Step 3: Cross multiply
    972,462.70x = 1,458,694.05 × 411,424.30
  4. Step 4: Simplify right side
    972,462.70x = 600,142,178,435.42
  5. Step 5: Solve for x
    x = 600,142,178,435.42/972,462.70
  6. Step 6: Final answer
    x = 617,136.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.