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Finding the Fourth Proportional to 360,464.56, 497,435.90 and 199,316.06

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Solution

The fourth proportional to 360,464.56, 497,435.90 and 199,316.06 is: 275,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,464.56 : 497,435.90 = 199,316.06 : x
  2. Step 2: Convert to fraction form
    360,464.56/497,435.90 = 199,316.06/x
  3. Step 3: Cross multiply
    360,464.56x = 497,435.90 × 199,316.06
  4. Step 4: Simplify right side
    360,464.56x = 99,146,963,690.55
  5. Step 5: Solve for x
    x = 99,146,963,690.55/360,464.56
  6. Step 6: Final answer
    x = 275,053.29

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1.5x scale

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.