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Finding the Fourth Proportional to 433,820.84, 650,712.08 and 118,277.76

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Solution

The fourth proportional to 433,820.84, 650,712.08 and 118,277.76 is: 177,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,820.84 : 650,712.08 = 118,277.76 : x
  2. Step 2: Convert to fraction form
    433,820.84/650,712.08 = 118,277.76/x
  3. Step 3: Cross multiply
    433,820.84x = 650,712.08 × 118,277.76
  4. Step 4: Simplify right side
    433,820.84x = 76,964,767,227.34
  5. Step 5: Solve for x
    x = 76,964,767,227.34/433,820.84
  6. Step 6: Final answer
    x = 177,411.41

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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.