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Finding the Fourth Proportional to 333,709.48, 460,406.42 and 190,368.60

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Solution

The fourth proportional to 333,709.48, 460,406.42 and 190,368.60 is: 262,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,709.48 : 460,406.42 = 190,368.60 : x
  2. Step 2: Convert to fraction form
    333,709.48/460,406.42 = 190,368.60/x
  3. Step 3: Cross multiply
    333,709.48x = 460,406.42 × 190,368.60
  4. Step 4: Simplify right side
    333,709.48x = 87,646,925,606.41
  5. Step 5: Solve for x
    x = 87,646,925,606.41/333,709.48
  6. Step 6: Final answer
    x = 262,644.40

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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.