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Finding the Fourth Proportional to 407,881.95, 562,627.69 and 242,197.63

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Solution

The fourth proportional to 407,881.95, 562,627.69 and 242,197.63 is: 334,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,881.95 : 562,627.69 = 242,197.63 : x
  2. Step 2: Convert to fraction form
    407,881.95/562,627.69 = 242,197.63/x
  3. Step 3: Cross multiply
    407,881.95x = 562,627.69 × 242,197.63
  4. Step 4: Simplify right side
    407,881.95x = 136,267,091,078.31
  5. Step 5: Solve for x
    x = 136,267,091,078.31/407,881.95
  6. Step 6: Final answer
    x = 334,084.63

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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.