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Finding the Fourth Proportional to 595,196.44, 821,690.96 and 458,931.76

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Solution

The fourth proportional to 595,196.44, 821,690.96 and 458,931.76 is: 633,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,196.44 : 821,690.96 = 458,931.76 : x
  2. Step 2: Convert to fraction form
    595,196.44/821,690.96 = 458,931.76/x
  3. Step 3: Cross multiply
    595,196.44x = 821,690.96 × 458,931.76
  4. Step 4: Simplify right side
    595,196.44x = 377,100,078,448.89
  5. Step 5: Solve for x
    x = 377,100,078,448.89/595,196.44
  6. Step 6: Final answer
    x = 633,572.47

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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.