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Finding the Fourth Proportional to 692,744.63, 956,146.97 and 406,356.98

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Solution

The fourth proportional to 692,744.63, 956,146.97 and 406,356.98 is: 560,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,744.63 : 956,146.97 = 406,356.98 : x
  2. Step 2: Convert to fraction form
    692,744.63/956,146.97 = 406,356.98/x
  3. Step 3: Cross multiply
    692,744.63x = 956,146.97 × 406,356.98
  4. Step 4: Simplify right side
    692,744.63x = 388,536,995,165.35
  5. Step 5: Solve for x
    x = 388,536,995,165.35/692,744.63
  6. Step 6: Final answer
    x = 560,866.12

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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.