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Finding the Fourth Proportional to 416,423.08, 574,665.14 and 225,436.02

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Solution

The fourth proportional to 416,423.08, 574,665.14 and 225,436.02 is: 311,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,423.08 : 574,665.14 = 225,436.02 : x
  2. Step 2: Convert to fraction form
    416,423.08/574,665.14 = 225,436.02/x
  3. Step 3: Cross multiply
    416,423.08x = 574,665.14 × 225,436.02
  4. Step 4: Simplify right side
    416,423.08x = 129,550,221,994.34
  5. Step 5: Solve for x
    x = 129,550,221,994.34/416,423.08
  6. Step 6: Final answer
    x = 311,102.41

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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.