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Finding the Fourth Proportional to 3,113,615.40, 4,671,978.30 and 1,766,812.20

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Solution

The fourth proportional to 3,113,615.40, 4,671,978.30 and 1,766,812.20 is: 2,651,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113,615.40 : 4,671,978.30 = 1,766,812.20 : x
  2. Step 2: Convert to fraction form
    3,113,615.40/4,671,978.30 = 1,766,812.20/x
  3. Step 3: Cross multiply
    3,113,615.40x = 4,671,978.30 × 1,766,812.20
  4. Step 4: Simplify right side
    3,113,615.40x = 8,254,508,258,575.26
  5. Step 5: Solve for x
    x = 8,254,508,258,575.26/3,113,615.40
  6. Step 6: Final answer
    x = 2,651,100.79

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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.