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Finding the Fourth Proportional to 415,835.84, 623,659.64 and 190,980.11

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Solution

The fourth proportional to 415,835.84, 623,659.64 and 190,980.11 is: 286,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,835.84 : 623,659.64 = 190,980.11 : x
  2. Step 2: Convert to fraction form
    415,835.84/623,659.64 = 190,980.11/x
  3. Step 3: Cross multiply
    415,835.84x = 623,659.64 × 190,980.11
  4. Step 4: Simplify right side
    415,835.84x = 119,106,582,576.56
  5. Step 5: Solve for x
    x = 119,106,582,576.56/415,835.84
  6. Step 6: Final answer
    x = 286,426.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.