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Finding the Fourth Proportional to 470,897.80, 705,180.30 and 377,585.80

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Solution

The fourth proportional to 470,897.80, 705,180.30 and 377,585.80 is: 565,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.80 : 705,180.30 = 377,585.80 : x
  2. Step 2: Convert to fraction form
    470,897.80/705,180.30 = 377,585.80/x
  3. Step 3: Cross multiply
    470,897.80x = 705,180.30 × 377,585.80
  4. Step 4: Simplify right side
    470,897.80x = 266,266,067,719.74
  5. Step 5: Solve for x
    x = 266,266,067,719.74/470,897.80
  6. Step 6: Final answer
    x = 565,443.43

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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.