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Finding the Fourth Proportional to 540,186.77, 745,437.69 and 298,464.14

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Solution

The fourth proportional to 540,186.77, 745,437.69 and 298,464.14 is: 411,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,186.77 : 745,437.69 = 298,464.14 : x
  2. Step 2: Convert to fraction form
    540,186.77/745,437.69 = 298,464.14/x
  3. Step 3: Cross multiply
    540,186.77x = 745,437.69 × 298,464.14
  4. Step 4: Simplify right side
    540,186.77x = 222,486,415,342.25
  5. Step 5: Solve for x
    x = 222,486,415,342.25/540,186.77
  6. Step 6: Final answer
    x = 411,869.43

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Double scale
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1.5x scale

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.