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Finding the Fourth Proportional to 335,706.90, 463,373.34 and 219,437.28

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Solution

The fourth proportional to 335,706.90, 463,373.34 and 219,437.28 is: 302,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,706.90 : 463,373.34 = 219,437.28 : x
  2. Step 2: Convert to fraction form
    335,706.90/463,373.34 = 219,437.28/x
  3. Step 3: Cross multiply
    335,706.90x = 463,373.34 × 219,437.28
  4. Step 4: Simplify right side
    335,706.90x = 101,681,385,354.12
  5. Step 5: Solve for x
    x = 101,681,385,354.12/335,706.90
  6. Step 6: Final answer
    x = 302,887.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.