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Finding the Fourth Proportional to 505,214.61, 696,954.47 and 341,928.33

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Solution

The fourth proportional to 505,214.61, 696,954.47 and 341,928.33 is: 471,697.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,214.61 : 696,954.47 = 341,928.33 : x
  2. Step 2: Convert to fraction form
    505,214.61/696,954.47 = 341,928.33/x
  3. Step 3: Cross multiply
    505,214.61x = 696,954.47 × 341,928.33
  4. Step 4: Simplify right side
    505,214.61x = 238,308,476,303.49
  5. Step 5: Solve for x
    x = 238,308,476,303.49/505,214.61
  6. Step 6: Final answer
    x = 471,697.52

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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.