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Finding the Fourth Proportional to 556,301.16, 834,486.96 and 214,907.40

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Solution

The fourth proportional to 556,301.16, 834,486.96 and 214,907.40 is: 322,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,301.16 : 834,486.96 = 214,907.40 : x
  2. Step 2: Convert to fraction form
    556,301.16/834,486.96 = 214,907.40/x
  3. Step 3: Cross multiply
    556,301.16x = 834,486.96 × 214,907.40
  4. Step 4: Simplify right side
    556,301.16x = 179,337,422,907.50
  5. Step 5: Solve for x
    x = 179,337,422,907.50/556,301.16
  6. Step 6: Final answer
    x = 322,374.71

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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.