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Finding the Fourth Proportional to 4,652,447.46, 6,978,662.55 and 1,457,818.34

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Solution

The fourth proportional to 4,652,447.46, 6,978,662.55 and 1,457,818.34 is: 2,186,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,447.46 : 6,978,662.55 = 1,457,818.34 : x
  2. Step 2: Convert to fraction form
    4,652,447.46/6,978,662.55 = 1,457,818.34/x
  3. Step 3: Cross multiply
    4,652,447.46x = 6,978,662.55 × 1,457,818.34
  4. Step 4: Simplify right side
    4,652,447.46x = 10,173,622,254,061.17
  5. Step 5: Solve for x
    x = 10,173,622,254,061.17/4,652,447.46
  6. Step 6: Final answer
    x = 2,186,724.80

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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.