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Finding the Fourth Proportional to 415,911.20, 623,866.86 and 100,368.12

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Solution

The fourth proportional to 415,911.20, 623,866.86 and 100,368.12 is: 150,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,911.20 : 623,866.86 = 100,368.12 : x
  2. Step 2: Convert to fraction form
    415,911.20/623,866.86 = 100,368.12/x
  3. Step 3: Cross multiply
    415,911.20x = 623,866.86 × 100,368.12
  4. Step 4: Simplify right side
    415,911.20x = 62,616,343,868.50
  5. Step 5: Solve for x
    x = 62,616,343,868.50/415,911.20
  6. Step 6: Final answer
    x = 150,552.19

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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.