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Finding the Fourth Proportional to 649,294.52, 896,009.24 and 362,816.96

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Solution

The fourth proportional to 649,294.52, 896,009.24 and 362,816.96 is: 500,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,294.52 : 896,009.24 = 362,816.96 : x
  2. Step 2: Convert to fraction form
    649,294.52/896,009.24 = 362,816.96/x
  3. Step 3: Cross multiply
    649,294.52x = 896,009.24 × 362,816.96
  4. Step 4: Simplify right side
    649,294.52x = 325,087,345,015.71
  5. Step 5: Solve for x
    x = 325,087,345,015.71/649,294.52
  6. Step 6: Final answer
    x = 500,677.79

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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.