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Finding the Fourth Proportional to 4,652,357.92, 6,978,534.72 and 1,457,735.20

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Solution

The fourth proportional to 4,652,357.92, 6,978,534.72 and 1,457,735.20 is: 2,186,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,357.92 : 6,978,534.72 = 1,457,735.20 : x
  2. Step 2: Convert to fraction form
    4,652,357.92/6,978,534.72 = 1,457,735.20/x
  3. Step 3: Cross multiply
    4,652,357.92x = 6,978,534.72 × 1,457,735.20
  4. Step 4: Simplify right side
    4,652,357.92x = 10,172,855,705,766.14
  5. Step 5: Solve for x
    x = 10,172,855,705,766.14/4,652,357.92
  6. Step 6: Final answer
    x = 2,186,602.12

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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.