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Finding the Fourth Proportional to 286,442.55, 429,661.11 and 174,153.78

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Solution

The fourth proportional to 286,442.55, 429,661.11 and 174,153.78 is: 261,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,442.55 : 429,661.11 = 174,153.78 : x
  2. Step 2: Convert to fraction form
    286,442.55/429,661.11 = 174,153.78/x
  3. Step 3: Cross multiply
    286,442.55x = 429,661.11 × 174,153.78
  4. Step 4: Simplify right side
    286,442.55x = 74,827,106,425.50
  5. Step 5: Solve for x
    x = 74,827,106,425.50/286,442.55
  6. Step 6: Final answer
    x = 261,229.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.