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Finding the Fourth Proportional to 736,133, 1,015,853.82 and 409,443.80

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Solution

The fourth proportional to 736,133, 1,015,853.82 and 409,443.80 is: 565,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,133 : 1,015,853.82 = 409,443.80 : x
  2. Step 2: Convert to fraction form
    736,133/1,015,853.82 = 409,443.80/x
  3. Step 3: Cross multiply
    736,133x = 1,015,853.82 × 409,443.80
  4. Step 4: Simplify right side
    736,133x = 415,935,048,305.32
  5. Step 5: Solve for x
    x = 415,935,048,305.32/736,133
  6. Step 6: Final answer
    x = 565,027.04

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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.