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Finding the Fourth Proportional to 364,266.36, 546,465.29 and 164,680.74

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Solution

The fourth proportional to 364,266.36, 546,465.29 and 164,680.74 is: 247,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,266.36 : 546,465.29 = 164,680.74 : x
  2. Step 2: Convert to fraction form
    364,266.36/546,465.29 = 164,680.74/x
  3. Step 3: Cross multiply
    364,266.36x = 546,465.29 × 164,680.74
  4. Step 4: Simplify right side
    364,266.36x = 89,992,307,518.11
  5. Step 5: Solve for x
    x = 89,992,307,518.11/364,266.36
  6. Step 6: Final answer
    x = 247,050.83

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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.