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Finding the Fourth Proportional to 409,923.30, 610,809.72 and 365,206.44

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Solution

The fourth proportional to 409,923.30, 610,809.72 and 365,206.44 is: 544,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,923.30 : 610,809.72 = 365,206.44 : x
  2. Step 2: Convert to fraction form
    409,923.30/610,809.72 = 365,206.44/x
  3. Step 3: Cross multiply
    409,923.30x = 610,809.72 × 365,206.44
  4. Step 4: Simplify right side
    409,923.30x = 223,071,643,358.60
  5. Step 5: Solve for x
    x = 223,071,643,358.60/409,923.30
  6. Step 6: Final answer
    x = 544,178.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.