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Finding the Fourth Proportional to 460,584, 690,579.12 and 194,273.28

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Solution

The fourth proportional to 460,584, 690,579.12 and 194,273.28 is: 291,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,584 : 690,579.12 = 194,273.28 : x
  2. Step 2: Convert to fraction form
    460,584/690,579.12 = 194,273.28/x
  3. Step 3: Cross multiply
    460,584x = 690,579.12 × 194,273.28
  4. Step 4: Simplify right side
    460,584x = 134,161,070,741.91
  5. Step 5: Solve for x
    x = 134,161,070,741.91/460,584
  6. Step 6: Final answer
    x = 291,284.70

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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.