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Finding the Fourth Proportional to 436,070.70, 653,668.65 and 199,583.10

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Solution

The fourth proportional to 436,070.70, 653,668.65 and 199,583.10 is: 299,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,070.70 : 653,668.65 = 199,583.10 : x
  2. Step 2: Convert to fraction form
    436,070.70/653,668.65 = 199,583.10/x
  3. Step 3: Cross multiply
    436,070.70x = 653,668.65 × 199,583.10
  4. Step 4: Simplify right side
    436,070.70x = 130,461,215,539.82
  5. Step 5: Solve for x
    x = 130,461,215,539.82/436,070.70
  6. Step 6: Final answer
    x = 299,174.46

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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.