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Finding the Fourth Proportional to 346,242.84, 519,050.82 and 135,824.28

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Solution

The fourth proportional to 346,242.84, 519,050.82 and 135,824.28 is: 203,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,242.84 : 519,050.82 = 135,824.28 : x
  2. Step 2: Convert to fraction form
    346,242.84/519,050.82 = 135,824.28/x
  3. Step 3: Cross multiply
    346,242.84x = 519,050.82 × 135,824.28
  4. Step 4: Simplify right side
    346,242.84x = 70,499,703,909.91
  5. Step 5: Solve for x
    x = 70,499,703,909.91/346,242.84
  6. Step 6: Final answer
    x = 203,613.46

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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.