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Finding the Fourth Proportional to 584,581.76, 876,336 and 210,513.92

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Solution

The fourth proportional to 584,581.76, 876,336 and 210,513.92 is: 315,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,581.76 : 876,336 = 210,513.92 : x
  2. Step 2: Convert to fraction form
    584,581.76/876,336 = 210,513.92/x
  3. Step 3: Cross multiply
    584,581.76x = 876,336 × 210,513.92
  4. Step 4: Simplify right side
    584,581.76x = 184,480,926,597.12
  5. Step 5: Solve for x
    x = 184,480,926,597.12/584,581.76
  6. Step 6: Final answer
    x = 315,577.63

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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.