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Finding the Fourth Proportional to 585,763.52, 877,736.47 and 406,199.20

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Solution

The fourth proportional to 585,763.52, 877,736.47 and 406,199.20 is: 608,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,763.52 : 877,736.47 = 406,199.20 : x
  2. Step 2: Convert to fraction form
    585,763.52/877,736.47 = 406,199.20/x
  3. Step 3: Cross multiply
    585,763.52x = 877,736.47 × 406,199.20
  4. Step 4: Simplify right side
    585,763.52x = 356,535,848,714.99
  5. Step 5: Solve for x
    x = 356,535,848,714.99/585,763.52
  6. Step 6: Final answer
    x = 608,668.58

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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.