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Finding the Fourth Proportional to 540,083.98, 745,312.35 and 298,382.14

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Solution

The fourth proportional to 540,083.98, 745,312.35 and 298,382.14 is: 411,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,083.98 : 745,312.35 = 298,382.14 : x
  2. Step 2: Convert to fraction form
    540,083.98/745,312.35 = 298,382.14/x
  3. Step 3: Cross multiply
    540,083.98x = 745,312.35 × 298,382.14
  4. Step 4: Simplify right side
    540,083.98x = 222,387,893,961.43
  5. Step 5: Solve for x
    x = 222,387,893,961.43/540,083.98
  6. Step 6: Final answer
    x = 411,765.40

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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.