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Finding the Fourth Proportional to 406,447.74, 560,927.43 and 245,341.98

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Solution

The fourth proportional to 406,447.74, 560,927.43 and 245,341.98 is: 338,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,447.74 : 560,927.43 = 245,341.98 : x
  2. Step 2: Convert to fraction form
    406,447.74/560,927.43 = 245,341.98/x
  3. Step 3: Cross multiply
    406,447.74x = 560,927.43 × 245,341.98
  4. Step 4: Simplify right side
    406,447.74x = 137,619,046,312.51
  5. Step 5: Solve for x
    x = 137,619,046,312.51/406,447.74
  6. Step 6: Final answer
    x = 338,589.77

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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.