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Finding the Fourth Proportional to 402,200.64, 603,383.76 and 117,900.54

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Solution

The fourth proportional to 402,200.64, 603,383.76 and 117,900.54 is: 176,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,200.64 : 603,383.76 = 117,900.54 : x
  2. Step 2: Convert to fraction form
    402,200.64/603,383.76 = 117,900.54/x
  3. Step 3: Cross multiply
    402,200.64x = 603,383.76 × 117,900.54
  4. Step 4: Simplify right side
    402,200.64x = 71,139,271,131.23
  5. Step 5: Solve for x
    x = 71,139,271,131.23/402,200.64
  6. Step 6: Final answer
    x = 176,875.08

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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.