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Finding the Fourth Proportional to 357,715.62, 493,641.46 and 196,570.48

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Solution

The fourth proportional to 357,715.62, 493,641.46 and 196,570.48 is: 271,263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,715.62 : 493,641.46 = 196,570.48 : x
  2. Step 2: Convert to fraction form
    357,715.62/493,641.46 = 196,570.48/x
  3. Step 3: Cross multiply
    357,715.62x = 493,641.46 × 196,570.48
  4. Step 4: Simplify right side
    357,715.62x = 97,035,338,740.10
  5. Step 5: Solve for x
    x = 97,035,338,740.10/357,715.62
  6. Step 6: Final answer
    x = 271,263.91

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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.