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Finding the Fourth Proportional to 775,809.40, 1,070,604.06 and 431,641.72

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Solution

The fourth proportional to 775,809.40, 1,070,604.06 and 431,641.72 is: 595,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,809.40 : 1,070,604.06 = 431,641.72 : x
  2. Step 2: Convert to fraction form
    775,809.40/1,070,604.06 = 431,641.72/x
  3. Step 3: Cross multiply
    775,809.40x = 1,070,604.06 × 431,641.72
  4. Step 4: Simplify right side
    775,809.40x = 462,117,377,897.38
  5. Step 5: Solve for x
    x = 462,117,377,897.38/775,809.40
  6. Step 6: Final answer
    x = 595,658.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.