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Finding the Fourth Proportional to 286,564.84, 429,820.90 and 97,003.55

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Solution

The fourth proportional to 286,564.84, 429,820.90 and 97,003.55 is: 145,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,564.84 : 429,820.90 = 97,003.55 : x
  2. Step 2: Convert to fraction form
    286,564.84/429,820.90 = 97,003.55/x
  3. Step 3: Cross multiply
    286,564.84x = 429,820.90 × 97,003.55
  4. Step 4: Simplify right side
    286,564.84x = 41,694,153,996.24
  5. Step 5: Solve for x
    x = 41,694,153,996.24/286,564.84
  6. Step 6: Final answer
    x = 145,496.41

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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.