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Finding the Fourth Proportional to 727,573, 1,004,050.74 and 425,767

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Solution

The fourth proportional to 727,573, 1,004,050.74 and 425,767 is: 587,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,573 : 1,004,050.74 = 425,767 : x
  2. Step 2: Convert to fraction form
    727,573/1,004,050.74 = 425,767/x
  3. Step 3: Cross multiply
    727,573x = 1,004,050.74 × 425,767
  4. Step 4: Simplify right side
    727,573x = 427,491,671,417.58
  5. Step 5: Solve for x
    x = 427,491,671,417.58/727,573
  6. Step 6: Final answer
    x = 587,558.46

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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.