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Finding the Fourth Proportional to 357,548, 493,415.68 and 196,403.04

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Solution

The fourth proportional to 357,548, 493,415.68 and 196,403.04 is: 271,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,548 : 493,415.68 = 196,403.04 : x
  2. Step 2: Convert to fraction form
    357,548/493,415.68 = 196,403.04/x
  3. Step 3: Cross multiply
    357,548x = 493,415.68 × 196,403.04
  4. Step 4: Simplify right side
    357,548x = 96,908,339,535.67
  5. Step 5: Solve for x
    x = 96,908,339,535.67/357,548
  6. Step 6: Final answer
    x = 271,035.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.