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Finding the Fourth Proportional to 408,050.30, 612,075.45 and 392,498.30

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Solution

The fourth proportional to 408,050.30, 612,075.45 and 392,498.30 is: 588,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,050.30 : 612,075.45 = 392,498.30 : x
  2. Step 2: Convert to fraction form
    408,050.30/612,075.45 = 392,498.30/x
  3. Step 3: Cross multiply
    408,050.30x = 612,075.45 × 392,498.30
  4. Step 4: Simplify right side
    408,050.30x = 240,238,573,596.74
  5. Step 5: Solve for x
    x = 240,238,573,596.74/408,050.30
  6. Step 6: Final answer
    x = 588,747.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.