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Finding the Fourth Proportional to 4,968,564.48, 7,452,843.12 and 1,602,771.60

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Solution

The fourth proportional to 4,968,564.48, 7,452,843.12 and 1,602,771.60 is: 2,404,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968,564.48 : 7,452,843.12 = 1,602,771.60 : x
  2. Step 2: Convert to fraction form
    4,968,564.48/7,452,843.12 = 1,602,771.60/x
  3. Step 3: Cross multiply
    4,968,564.48x = 7,452,843.12 × 1,602,771.60
  4. Step 4: Simplify right side
    4,968,564.48x = 11,945,205,291,991.39
  5. Step 5: Solve for x
    x = 11,945,205,291,991.39/4,968,564.48
  6. Step 6: Final answer
    x = 2,404,156.24

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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.