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Finding the Fourth Proportional to 5,194,374.04, 7,791,561.12 and 1,407,856.91

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Solution

The fourth proportional to 5,194,374.04, 7,791,561.12 and 1,407,856.91 is: 2,111,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194,374.04 : 7,791,561.12 = 1,407,856.91 : x
  2. Step 2: Convert to fraction form
    5,194,374.04/7,791,561.12 = 1,407,856.91/x
  3. Step 3: Cross multiply
    5,194,374.04x = 7,791,561.12 × 1,407,856.91
  4. Step 4: Simplify right side
    5,194,374.04x = 10,969,403,162,479.34
  5. Step 5: Solve for x
    x = 10,969,403,162,479.34/5,194,374.04
  6. Step 6: Final answer
    x = 2,111,785.38

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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.