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Finding the Fourth Proportional to 406,398.52, 560,804 and 234,307.56

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Solution

The fourth proportional to 406,398.52, 560,804 and 234,307.56 is: 323,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,398.52 : 560,804 = 234,307.56 : x
  2. Step 2: Convert to fraction form
    406,398.52/560,804 = 234,307.56/x
  3. Step 3: Cross multiply
    406,398.52x = 560,804 × 234,307.56
  4. Step 4: Simplify right side
    406,398.52x = 131,400,616,878.24
  5. Step 5: Solve for x
    x = 131,400,616,878.24/406,398.52
  6. Step 6: Final answer
    x = 323,329.47

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