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Finding the Fourth Proportional to 540,148.14, 745,412.25 and 298,436.28

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Solution

The fourth proportional to 540,148.14, 745,412.25 and 298,436.28 is: 411,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,148.14 : 745,412.25 = 298,436.28 : x
  2. Step 2: Convert to fraction form
    540,148.14/745,412.25 = 298,436.28/x
  3. Step 3: Cross multiply
    540,148.14x = 745,412.25 × 298,436.28
  4. Step 4: Simplify right side
    540,148.14x = 222,458,057,280.27
  5. Step 5: Solve for x
    x = 222,458,057,280.27/540,148.14
  6. Step 6: Final answer
    x = 411,846.38

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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.