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Finding the Fourth Proportional to 358,235.40, 537,698.70 and 180,942.60

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Solution

The fourth proportional to 358,235.40, 537,698.70 and 180,942.60 is: 271,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,235.40 : 537,698.70 = 180,942.60 : x
  2. Step 2: Convert to fraction form
    358,235.40/537,698.70 = 180,942.60/x
  3. Step 3: Cross multiply
    358,235.40x = 537,698.70 × 180,942.60
  4. Step 4: Simplify right side
    358,235.40x = 97,292,600,794.62
  5. Step 5: Solve for x
    x = 97,292,600,794.62/358,235.40
  6. Step 6: Final answer
    x = 271,588.46

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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.