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Finding the Fourth Proportional to 314,616.40, 471,742.34 and 214,897.10

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Solution

The fourth proportional to 314,616.40, 471,742.34 and 214,897.10 is: 322,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,616.40 : 471,742.34 = 214,897.10 : x
  2. Step 2: Convert to fraction form
    314,616.40/471,742.34 = 214,897.10/x
  3. Step 3: Cross multiply
    314,616.40x = 471,742.34 × 214,897.10
  4. Step 4: Simplify right side
    314,616.40x = 101,376,060,813.21
  5. Step 5: Solve for x
    x = 101,376,060,813.21/314,616.40
  6. Step 6: Final answer
    x = 322,221.16

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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.