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Finding the Fourth Proportional to 309,483.63, 464,225.45 and 204,278

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Solution

The fourth proportional to 309,483.63, 464,225.45 and 204,278 is: 306,417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,483.63 : 464,225.45 = 204,278 : x
  2. Step 2: Convert to fraction form
    309,483.63/464,225.45 = 204,278/x
  3. Step 3: Cross multiply
    309,483.63x = 464,225.45 × 204,278
  4. Step 4: Simplify right side
    309,483.63x = 94,831,046,475.10
  5. Step 5: Solve for x
    x = 94,831,046,475.10/309,483.63
  6. Step 6: Final answer
    x = 306,417.00

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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.