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Finding the Fourth Proportional to 306,041.74, 428,901.30 and 306,041.74

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Solution

The fourth proportional to 306,041.74, 428,901.30 and 306,041.74 is: 428,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,041.74 : 428,901.30 = 306,041.74 : x
  2. Step 2: Convert to fraction form
    306,041.74/428,901.30 = 306,041.74/x
  3. Step 3: Cross multiply
    306,041.74x = 428,901.30 × 306,041.74
  4. Step 4: Simplify right side
    306,041.74x = 131,261,699,068.01
  5. Step 5: Solve for x
    x = 131,261,699,068.01/306,041.74
  6. Step 6: Final answer
    x = 428,901.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.