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Finding the Fourth Proportional to 1,412,051.07, 1,948,642.35 and 767,471.10

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Solution

The fourth proportional to 1,412,051.07, 1,948,642.35 and 767,471.10 is: 1,059,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,051.07 : 1,948,642.35 = 767,471.10 : x
  2. Step 2: Convert to fraction form
    1,412,051.07/1,948,642.35 = 767,471.10/x
  3. Step 3: Cross multiply
    1,412,051.07x = 1,948,642.35 × 767,471.10
  4. Step 4: Simplify right side
    1,412,051.07x = 1,495,526,687,861.09
  5. Step 5: Solve for x
    x = 1,495,526,687,861.09/1,412,051.07
  6. Step 6: Final answer
    x = 1,059,116.57

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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.