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Finding the Fourth Proportional to 470,872.80, 706,309.20 and 377,560.80

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Solution

The fourth proportional to 470,872.80, 706,309.20 and 377,560.80 is: 566,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.80 : 706,309.20 = 377,560.80 : x
  2. Step 2: Convert to fraction form
    470,872.80/706,309.20 = 377,560.80/x
  3. Step 3: Cross multiply
    470,872.80x = 706,309.20 × 377,560.80
  4. Step 4: Simplify right side
    470,872.80x = 266,674,666,599.36
  5. Step 5: Solve for x
    x = 266,674,666,599.36/470,872.80
  6. Step 6: Final answer
    x = 566,341.20

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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.