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Finding the Fourth Proportional to 5,314,298.56, 7,972,713.28 and 1,720,066.12

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Solution

The fourth proportional to 5,314,298.56, 7,972,713.28 and 1,720,066.12 is: 2,580,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,298.56 : 7,972,713.28 = 1,720,066.12 : x
  2. Step 2: Convert to fraction form
    5,314,298.56/7,972,713.28 = 1,720,066.12/x
  3. Step 3: Cross multiply
    5,314,298.56x = 7,972,713.28 × 1,720,066.12
  4. Step 4: Simplify right side
    5,314,298.56x = 13,713,593,997,402.07
  5. Step 5: Solve for x
    x = 13,713,593,997,402.07/5,314,298.56
  6. Step 6: Final answer
    x = 2,580,508.76

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Why These Related Problems?

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