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Finding the Fourth Proportional to 415,830, 623,650.93 and 190,974.27

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Solution

The fourth proportional to 415,830, 623,650.93 and 190,974.27 is: 286,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,830 : 623,650.93 = 190,974.27 : x
  2. Step 2: Convert to fraction form
    415,830/623,650.93 = 190,974.27/x
  3. Step 3: Cross multiply
    415,830x = 623,650.93 × 190,974.27
  4. Step 4: Simplify right side
    415,830x = 119,101,281,091.57
  5. Step 5: Solve for x
    x = 119,101,281,091.57/415,830
  6. Step 6: Final answer
    x = 286,418.20

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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.