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Finding the Fourth Proportional to 585,932.90, 877,990.25 and 406,368.58

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Solution

The fourth proportional to 585,932.90, 877,990.25 and 406,368.58 is: 608,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,932.90 : 877,990.25 = 406,368.58 : x
  2. Step 2: Convert to fraction form
    585,932.90/877,990.25 = 406,368.58/x
  3. Step 3: Cross multiply
    585,932.90x = 877,990.25 × 406,368.58
  4. Step 4: Simplify right side
    585,932.90x = 356,787,649,967.29
  5. Step 5: Solve for x
    x = 356,787,649,967.29/585,932.90
  6. Step 6: Final answer
    x = 608,922.37

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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.