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Finding the Fourth Proportional to 407,065.17, 561,382.41 and 254,117.46

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Solution

The fourth proportional to 407,065.17, 561,382.41 and 254,117.46 is: 350,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,065.17 : 561,382.41 = 254,117.46 : x
  2. Step 2: Convert to fraction form
    407,065.17/561,382.41 = 254,117.46/x
  3. Step 3: Cross multiply
    407,065.17x = 561,382.41 × 254,117.46
  4. Step 4: Simplify right side
    407,065.17x = 142,657,072,117.88
  5. Step 5: Solve for x
    x = 142,657,072,117.88/407,065.17
  6. Step 6: Final answer
    x = 350,452.66

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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.