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Finding the Fourth Proportional to 546,896.25, 820,709.01 and 210,214.89

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Solution

The fourth proportional to 546,896.25, 820,709.01 and 210,214.89 is: 315,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,896.25 : 820,709.01 = 210,214.89 : x
  2. Step 2: Convert to fraction form
    546,896.25/820,709.01 = 210,214.89/x
  3. Step 3: Cross multiply
    546,896.25x = 820,709.01 × 210,214.89
  4. Step 4: Simplify right side
    546,896.25x = 172,525,254,259.16
  5. Step 5: Solve for x
    x = 172,525,254,259.16/546,896.25
  6. Step 6: Final answer
    x = 315,462.49

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1.5x scale

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.