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Finding the Fourth Proportional to 490,030.84, 734,062.08 and 223,424.60

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Solution

The fourth proportional to 490,030.84, 734,062.08 and 223,424.60 is: 334,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,030.84 : 734,062.08 = 223,424.60 : x
  2. Step 2: Convert to fraction form
    490,030.84/734,062.08 = 223,424.60/x
  3. Step 3: Cross multiply
    490,030.84x = 734,062.08 × 223,424.60
  4. Step 4: Simplify right side
    490,030.84x = 164,007,526,599.17
  5. Step 5: Solve for x
    x = 164,007,526,599.17/490,030.84
  6. Step 6: Final answer
    x = 334,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.