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Finding the Fourth Proportional to 406,030.05, 560,320.74 and 222,271.02

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Solution

The fourth proportional to 406,030.05, 560,320.74 and 222,271.02 is: 306,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,030.05 : 560,320.74 = 222,271.02 : x
  2. Step 2: Convert to fraction form
    406,030.05/560,320.74 = 222,271.02/x
  3. Step 3: Cross multiply
    406,030.05x = 560,320.74 × 222,271.02
  4. Step 4: Simplify right side
    406,030.05x = 124,543,062,406.96
  5. Step 5: Solve for x
    x = 124,543,062,406.96/406,030.05
  6. Step 6: Final answer
    x = 306,733.61

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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.