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Finding the Fourth Proportional to 2,602,917.86, 3,904,261.74 and 709,659.50

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Solution

The fourth proportional to 2,602,917.86, 3,904,261.74 and 709,659.50 is: 1,064,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,917.86 : 3,904,261.74 = 709,659.50 : x
  2. Step 2: Convert to fraction form
    2,602,917.86/3,904,261.74 = 709,659.50/x
  3. Step 3: Cross multiply
    2,602,917.86x = 3,904,261.74 × 709,659.50
  4. Step 4: Simplify right side
    2,602,917.86x = 2,770,696,414,756.22
  5. Step 5: Solve for x
    x = 2,770,696,414,756.22/2,602,917.86
  6. Step 6: Final answer
    x = 1,064,457.88

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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.