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Finding the Fourth Proportional to 346,604.46, 519,968.10 and 157,057.16

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Solution

The fourth proportional to 346,604.46, 519,968.10 and 157,057.16 is: 235,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,604.46 : 519,968.10 = 157,057.16 : x
  2. Step 2: Convert to fraction form
    346,604.46/519,968.10 = 157,057.16/x
  3. Step 3: Cross multiply
    346,604.46x = 519,968.10 × 157,057.16
  4. Step 4: Simplify right side
    346,604.46x = 81,664,713,076.60
  5. Step 5: Solve for x
    x = 81,664,713,076.60/346,604.46
  6. Step 6: Final answer
    x = 235,613.57

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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.