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Finding the Fourth Proportional to 649,707.12, 974,699.79 and 194,334.12

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Solution

The fourth proportional to 649,707.12, 974,699.79 and 194,334.12 is: 291,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,707.12 : 974,699.79 = 194,334.12 : x
  2. Step 2: Convert to fraction form
    649,707.12/974,699.79 = 194,334.12/x
  3. Step 3: Cross multiply
    649,707.12x = 974,699.79 × 194,334.12
  4. Step 4: Simplify right side
    649,707.12x = 189,417,425,953.84
  5. Step 5: Solve for x
    x = 189,417,425,953.84/649,707.12
  6. Step 6: Final answer
    x = 291,542.79

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1.5x scale

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.