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Finding the Fourth Proportional to 446,722.92, 616,482.46 and 242,777.28

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Solution

The fourth proportional to 446,722.92, 616,482.46 and 242,777.28 is: 335,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,722.92 : 616,482.46 = 242,777.28 : x
  2. Step 2: Convert to fraction form
    446,722.92/616,482.46 = 242,777.28/x
  3. Step 3: Cross multiply
    446,722.92x = 616,482.46 × 242,777.28
  4. Step 4: Simplify right side
    446,722.92x = 149,667,931,196.00
  5. Step 5: Solve for x
    x = 149,667,931,196.00/446,722.92
  6. Step 6: Final answer
    x = 335,035.26

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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.