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Finding the Fourth Proportional to 406,211.46, 560,603.40 and 224,940.24

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Solution

The fourth proportional to 406,211.46, 560,603.40 and 224,940.24 is: 310,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,211.46 : 560,603.40 = 224,940.24 : x
  2. Step 2: Convert to fraction form
    406,211.46/560,603.40 = 224,940.24/x
  3. Step 3: Cross multiply
    406,211.46x = 560,603.40 × 224,940.24
  4. Step 4: Simplify right side
    406,211.46x = 126,102,263,340.82
  5. Step 5: Solve for x
    x = 126,102,263,340.82/406,211.46
  6. Step 6: Final answer
    x = 310,435.02

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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.