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Finding the Fourth Proportional to 556,308.16, 834,497.46 and 214,914.40

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Solution

The fourth proportional to 556,308.16, 834,497.46 and 214,914.40 is: 322,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,308.16 : 834,497.46 = 214,914.40 : x
  2. Step 2: Convert to fraction form
    556,308.16/834,497.46 = 214,914.40/x
  3. Step 3: Cross multiply
    556,308.16x = 834,497.46 × 214,914.40
  4. Step 4: Simplify right side
    556,308.16x = 179,345,520,917.42
  5. Step 5: Solve for x
    x = 179,345,520,917.42/556,308.16
  6. Step 6: Final answer
    x = 322,385.21

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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.