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Finding the Fourth Proportional to 556,200.56, 834,548.88 and 256,520

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Solution

The fourth proportional to 556,200.56, 834,548.88 and 256,520 is: 384,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,200.56 : 834,548.88 = 256,520 : x
  2. Step 2: Convert to fraction form
    556,200.56/834,548.88 = 256,520/x
  3. Step 3: Cross multiply
    556,200.56x = 834,548.88 × 256,520
  4. Step 4: Simplify right side
    556,200.56x = 214,078,478,697.60
  5. Step 5: Solve for x
    x = 214,078,478,697.60/556,200.56
  6. Step 6: Final answer
    x = 384,894.40

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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.