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Finding the Fourth Proportional to 515,465.97, 711,109.90 and 334,223.81

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Solution

The fourth proportional to 515,465.97, 711,109.90 and 334,223.81 is: 461,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,465.97 : 711,109.90 = 334,223.81 : x
  2. Step 2: Convert to fraction form
    515,465.97/711,109.90 = 334,223.81/x
  3. Step 3: Cross multiply
    515,465.97x = 711,109.90 × 334,223.81
  4. Step 4: Simplify right side
    515,465.97x = 237,669,860,106.72
  5. Step 5: Solve for x
    x = 237,669,860,106.72/515,465.97
  6. Step 6: Final answer
    x = 461,077.69

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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.