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Finding the Fourth Proportional to 6,649,506.30, 9,974,259.45 and 1,600,816.80

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Solution

The fourth proportional to 6,649,506.30, 9,974,259.45 and 1,600,816.80 is: 2,401,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,506.30 : 9,974,259.45 = 1,600,816.80 : x
  2. Step 2: Convert to fraction form
    6,649,506.30/9,974,259.45 = 1,600,816.80/x
  3. Step 3: Cross multiply
    6,649,506.30x = 9,974,259.45 × 1,600,816.80
  4. Step 4: Simplify right side
    6,649,506.30x = 15,966,962,095,118.76
  5. Step 5: Solve for x
    x = 15,966,962,095,118.76/6,649,506.30
  6. Step 6: Final answer
    x = 2,401,225.20

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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.