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Finding the Fourth Proportional to 540,463.96, 745,827.14 and 298,740.32

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Solution

The fourth proportional to 540,463.96, 745,827.14 and 298,740.32 is: 412,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,463.96 : 745,827.14 = 298,740.32 : x
  2. Step 2: Convert to fraction form
    540,463.96/745,827.14 = 298,740.32/x
  3. Step 3: Cross multiply
    540,463.96x = 745,827.14 × 298,740.32
  4. Step 4: Simplify right side
    540,463.96x = 222,808,638,468.29
  5. Step 5: Solve for x
    x = 222,808,638,468.29/540,463.96
  6. Step 6: Final answer
    x = 412,254.39

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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.