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Finding the Fourth Proportional to 504,538.88, 696,384.96 and 303,296

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Solution

The fourth proportional to 504,538.88, 696,384.96 and 303,296 is: 418,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,538.88 : 696,384.96 = 303,296 : x
  2. Step 2: Convert to fraction form
    504,538.88/696,384.96 = 303,296/x
  3. Step 3: Cross multiply
    504,538.88x = 696,384.96 × 303,296
  4. Step 4: Simplify right side
    504,538.88x = 211,210,772,828.16
  5. Step 5: Solve for x
    x = 211,210,772,828.16/504,538.88
  6. Step 6: Final answer
    x = 418,621.40

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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.