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Finding the Fourth Proportional to 407,402.84, 562,319.27 and 278,393.54

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Solution

The fourth proportional to 407,402.84, 562,319.27 and 278,393.54 is: 384,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,402.84 : 562,319.27 = 278,393.54 : x
  2. Step 2: Convert to fraction form
    407,402.84/562,319.27 = 278,393.54/x
  3. Step 3: Cross multiply
    407,402.84x = 562,319.27 × 278,393.54
  4. Step 4: Simplify right side
    407,402.84x = 156,546,050,599.67
  5. Step 5: Solve for x
    x = 156,546,050,599.67/407,402.84
  6. Step 6: Final answer
    x = 384,253.70

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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.