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Finding the Fourth Proportional to 346,669, 520,003.50 and 84,013

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Solution

The fourth proportional to 346,669, 520,003.50 and 84,013 is: 126,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,669 : 520,003.50 = 84,013 : x
  2. Step 2: Convert to fraction form
    346,669/520,003.50 = 84,013/x
  3. Step 3: Cross multiply
    346,669x = 520,003.50 × 84,013
  4. Step 4: Simplify right side
    346,669x = 43,687,054,045.50
  5. Step 5: Solve for x
    x = 43,687,054,045.50/346,669
  6. Step 6: Final answer
    x = 126,019.50

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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.