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Finding the Fourth Proportional to 406,182.30, 560,653.05 and 262,952.01

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Solution

The fourth proportional to 406,182.30, 560,653.05 and 262,952.01 is: 362,952.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,182.30 : 560,653.05 = 262,952.01 : x
  2. Step 2: Convert to fraction form
    406,182.30/560,653.05 = 262,952.01/x
  3. Step 3: Cross multiply
    406,182.30x = 560,653.05 × 262,952.01
  4. Step 4: Simplify right side
    406,182.30x = 147,424,846,410.13
  5. Step 5: Solve for x
    x = 147,424,846,410.13/406,182.30
  6. Step 6: Final answer
    x = 362,952.41

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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.