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Finding the Fourth Proportional to 286,518.18, 429,186.71 and 167,829.69

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Solution

The fourth proportional to 286,518.18, 429,186.71 and 167,829.69 is: 251,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,518.18 : 429,186.71 = 167,829.69 : x
  2. Step 2: Convert to fraction form
    286,518.18/429,186.71 = 167,829.69/x
  3. Step 3: Cross multiply
    286,518.18x = 429,186.71 × 167,829.69
  4. Step 4: Simplify right side
    286,518.18x = 72,030,272,491.42
  5. Step 5: Solve for x
    x = 72,030,272,491.42/286,518.18
  6. Step 6: Final answer
    x = 251,398.61

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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.