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Finding the Fourth Proportional to 1,741,741.16, 2,403,470.10 and 977,647.10

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Solution

The fourth proportional to 1,741,741.16, 2,403,470.10 and 977,647.10 is: 1,349,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,741.16 : 2,403,470.10 = 977,647.10 : x
  2. Step 2: Convert to fraction form
    1,741,741.16/2,403,470.10 = 977,647.10/x
  3. Step 3: Cross multiply
    1,741,741.16x = 2,403,470.10 × 977,647.10
  4. Step 4: Simplify right side
    1,741,741.16x = 2,349,745,573,201.71
  5. Step 5: Solve for x
    x = 2,349,745,573,201.71/1,741,741.16
  6. Step 6: Final answer
    x = 1,349,078.51

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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.