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Finding the Fourth Proportional to 3,130,703.22, 4,696,951.50 and 1,533,733.95

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Solution

The fourth proportional to 3,130,703.22, 4,696,951.50 and 1,533,733.95 is: 2,301,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,703.22 : 4,696,951.50 = 1,533,733.95 : x
  2. Step 2: Convert to fraction form
    3,130,703.22/4,696,951.50 = 1,533,733.95/x
  3. Step 3: Cross multiply
    3,130,703.22x = 4,696,951.50 × 1,533,733.95
  4. Step 4: Simplify right side
    3,130,703.22x = 7,203,873,977,053.43
  5. Step 5: Solve for x
    x = 7,203,873,977,053.43/3,130,703.22
  6. Step 6: Final answer
    x = 2,301,040.20

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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.