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Finding the Fourth Proportional to 613,420.90, 846,539.64 and 334,036.58

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Solution

The fourth proportional to 613,420.90, 846,539.64 and 334,036.58 is: 460,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,420.90 : 846,539.64 = 334,036.58 : x
  2. Step 2: Convert to fraction form
    613,420.90/846,539.64 = 334,036.58/x
  3. Step 3: Cross multiply
    613,420.90x = 846,539.64 × 334,036.58
  4. Step 4: Simplify right side
    613,420.90x = 282,775,201,947.33
  5. Step 5: Solve for x
    x = 282,775,201,947.33/613,420.90
  6. Step 6: Final answer
    x = 460,980.71

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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.