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Finding the Fourth Proportional to 354,068.16, 531,197.01 and 154,404.78

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Solution

The fourth proportional to 354,068.16, 531,197.01 and 154,404.78 is: 231,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,068.16 : 531,197.01 = 154,404.78 : x
  2. Step 2: Convert to fraction form
    354,068.16/531,197.01 = 154,404.78/x
  3. Step 3: Cross multiply
    354,068.16x = 531,197.01 × 154,404.78
  4. Step 4: Simplify right side
    354,068.16x = 82,019,357,465.71
  5. Step 5: Solve for x
    x = 82,019,357,465.71/354,068.16
  6. Step 6: Final answer
    x = 231,648.50

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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.