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Finding the Fourth Proportional to 854,532.81, 1,281,404.52 and 314,653.50

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Solution

The fourth proportional to 854,532.81, 1,281,404.52 and 314,653.50 is: 471,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,532.81 : 1,281,404.52 = 314,653.50 : x
  2. Step 2: Convert to fraction form
    854,532.81/1,281,404.52 = 314,653.50/x
  3. Step 3: Cross multiply
    854,532.81x = 1,281,404.52 × 314,653.50
  4. Step 4: Simplify right side
    854,532.81x = 403,198,417,133.82
  5. Step 5: Solve for x
    x = 403,198,417,133.82/854,532.81
  6. Step 6: Final answer
    x = 471,834.92

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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.