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Finding the Fourth Proportional to 610,886.16, 916,109.68 and 211,418.48

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Solution

The fourth proportional to 610,886.16, 916,109.68 and 211,418.48 is: 317,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,886.16 : 916,109.68 = 211,418.48 : x
  2. Step 2: Convert to fraction form
    610,886.16/916,109.68 = 211,418.48/x
  3. Step 3: Cross multiply
    610,886.16x = 916,109.68 × 211,418.48
  4. Step 4: Simplify right side
    610,886.16x = 193,682,516,058.89
  5. Step 5: Solve for x
    x = 193,682,516,058.89/610,886.16
  6. Step 6: Final answer
    x = 317,051.73

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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.