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Finding the Fourth Proportional to 703,854, 970,243.65 and 431,416.98

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Solution

The fourth proportional to 703,854, 970,243.65 and 431,416.98 is: 594,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,854 : 970,243.65 = 431,416.98 : x
  2. Step 2: Convert to fraction form
    703,854/970,243.65 = 431,416.98/x
  3. Step 3: Cross multiply
    703,854x = 970,243.65 × 431,416.98
  4. Step 4: Simplify right side
    703,854x = 418,579,585,347.18
  5. Step 5: Solve for x
    x = 418,579,585,347.18/703,854
  6. Step 6: Final answer
    x = 594,696.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.