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Finding the Fourth Proportional to 814,220.10, 1,223,238.54 and 768,208.50

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Solution

The fourth proportional to 814,220.10, 1,223,238.54 and 768,208.50 is: 1,154,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,220.10 : 1,223,238.54 = 768,208.50 : x
  2. Step 2: Convert to fraction form
    814,220.10/1,223,238.54 = 768,208.50/x
  3. Step 3: Cross multiply
    814,220.10x = 1,223,238.54 × 768,208.50
  4. Step 4: Simplify right side
    814,220.10x = 939,702,243,955.59
  5. Step 5: Solve for x
    x = 939,702,243,955.59/814,220.10
  6. Step 6: Final answer
    x = 1,154,113.30

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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.