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Finding the Fourth Proportional to 1,406,683.82, 1,941,232.98 and 762,104.02

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Solution

The fourth proportional to 1,406,683.82, 1,941,232.98 and 762,104.02 is: 1,051,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,683.82 : 1,941,232.98 = 762,104.02 : x
  2. Step 2: Convert to fraction form
    1,406,683.82/1,941,232.98 = 762,104.02/x
  3. Step 3: Cross multiply
    1,406,683.82x = 1,941,232.98 × 762,104.02
  4. Step 4: Simplify right side
    1,406,683.82x = 1,479,421,457,814.58
  5. Step 5: Solve for x
    x = 1,479,421,457,814.58/1,406,683.82
  6. Step 6: Final answer
    x = 1,051,708.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.