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Finding the Fourth Proportional to 309,830.40, 464,054.40 and 254,534.40

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Solution

The fourth proportional to 309,830.40, 464,054.40 and 254,534.40 is: 381,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,830.40 : 464,054.40 = 254,534.40 : x
  2. Step 2: Convert to fraction form
    309,830.40/464,054.40 = 254,534.40/x
  3. Step 3: Cross multiply
    309,830.40x = 464,054.40 × 254,534.40
  4. Step 4: Simplify right side
    309,830.40x = 118,117,808,271.36
  5. Step 5: Solve for x
    x = 118,117,808,271.36/309,830.40
  6. Step 6: Final answer
    x = 381,233.76

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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.