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Finding the Fourth Proportional to 357,547.92, 493,391.88 and 196,409.76

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Solution

The fourth proportional to 357,547.92, 493,391.88 and 196,409.76 is: 271,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,547.92 : 493,391.88 = 196,409.76 : x
  2. Step 2: Convert to fraction form
    357,547.92/493,391.88 = 196,409.76/x
  3. Step 3: Cross multiply
    357,547.92x = 493,391.88 × 196,409.76
  4. Step 4: Simplify right side
    357,547.92x = 96,906,980,736.75
  5. Step 5: Solve for x
    x = 96,906,980,736.75/357,547.92
  6. Step 6: Final answer
    x = 271,032.15

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1.5x scale

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.