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Finding the Fourth Proportional to 560,823.66, 773,907.36 and 306,125.64

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Solution

The fourth proportional to 560,823.66, 773,907.36 and 306,125.64 is: 422,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,823.66 : 773,907.36 = 306,125.64 : x
  2. Step 2: Convert to fraction form
    560,823.66/773,907.36 = 306,125.64/x
  3. Step 3: Cross multiply
    560,823.66x = 773,907.36 × 306,125.64
  4. Step 4: Simplify right side
    560,823.66x = 236,912,885,880.71
  5. Step 5: Solve for x
    x = 236,912,885,880.71/560,823.66
  6. Step 6: Final answer
    x = 422,437.39

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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.