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Finding the Fourth Proportional to 736,793, 1,105,189.50 and 238,157

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Solution

The fourth proportional to 736,793, 1,105,189.50 and 238,157 is: 357,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,793 : 1,105,189.50 = 238,157 : x
  2. Step 2: Convert to fraction form
    736,793/1,105,189.50 = 238,157/x
  3. Step 3: Cross multiply
    736,793x = 1,105,189.50 × 238,157
  4. Step 4: Simplify right side
    736,793x = 263,208,615,751.50
  5. Step 5: Solve for x
    x = 263,208,615,751.50/736,793
  6. Step 6: Final answer
    x = 357,235.50

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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.