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Finding the Fourth Proportional to 489,404.30, 734,106.46 and 347,686.70

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Solution

The fourth proportional to 489,404.30, 734,106.46 and 347,686.70 is: 521,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,404.30 : 734,106.46 = 347,686.70 : x
  2. Step 2: Convert to fraction form
    489,404.30/734,106.46 = 347,686.70/x
  3. Step 3: Cross multiply
    489,404.30x = 734,106.46 × 347,686.70
  4. Step 4: Simplify right side
    489,404.30x = 255,239,052,526.08
  5. Step 5: Solve for x
    x = 255,239,052,526.08/489,404.30
  6. Step 6: Final answer
    x = 521,530.06

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Why These Related Problems?

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