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Finding the Fourth Proportional to 409,922.02, 610,807.86 and 365,205.16

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Solution

The fourth proportional to 409,922.02, 610,807.86 and 365,205.16 is: 544,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,922.02 : 610,807.86 = 365,205.16 : x
  2. Step 2: Convert to fraction form
    409,922.02/610,807.86 = 365,205.16/x
  3. Step 3: Cross multiply
    409,922.02x = 610,807.86 × 365,205.16
  4. Step 4: Simplify right side
    409,922.02x = 223,070,182,240.56
  5. Step 5: Solve for x
    x = 223,070,182,240.56/409,922.02
  6. Step 6: Final answer
    x = 544,177.12

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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.