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Finding the Fourth Proportional to 270,411.10, 405,655.05 and 83,403.10

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Solution

The fourth proportional to 270,411.10, 405,655.05 and 83,403.10 is: 125,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,411.10 : 405,655.05 = 83,403.10 : x
  2. Step 2: Convert to fraction form
    270,411.10/405,655.05 = 83,403.10/x
  3. Step 3: Cross multiply
    270,411.10x = 405,655.05 × 83,403.10
  4. Step 4: Simplify right side
    270,411.10x = 33,832,888,700.66
  5. Step 5: Solve for x
    x = 33,832,888,700.66/270,411.10
  6. Step 6: Final answer
    x = 125,116.49

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1.5x scale

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.