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Finding the Fourth Proportional to 584,528.32, 876,265.92 and 210,288

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Solution

The fourth proportional to 584,528.32, 876,265.92 and 210,288 is: 315,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,528.32 : 876,265.92 = 210,288 : x
  2. Step 2: Convert to fraction form
    584,528.32/876,265.92 = 210,288/x
  3. Step 3: Cross multiply
    584,528.32x = 876,265.92 × 210,288
  4. Step 4: Simplify right side
    584,528.32x = 184,268,207,784.96
  5. Step 5: Solve for x
    x = 184,268,207,784.96/584,528.32
  6. Step 6: Final answer
    x = 315,242.57

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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.