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Finding the Fourth Proportional to 346,990.32, 478,820.04 and 211,005.48

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Solution

The fourth proportional to 346,990.32, 478,820.04 and 211,005.48 is: 291,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,990.32 : 478,820.04 = 211,005.48 : x
  2. Step 2: Convert to fraction form
    346,990.32/478,820.04 = 211,005.48/x
  3. Step 3: Cross multiply
    346,990.32x = 478,820.04 × 211,005.48
  4. Step 4: Simplify right side
    346,990.32x = 101,033,652,373.82
  5. Step 5: Solve for x
    x = 101,033,652,373.82/346,990.32
  6. Step 6: Final answer
    x = 291,171.39

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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.