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Finding the Fourth Proportional to 346,111.34, 477,543.38 and 202,794.38

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Solution

The fourth proportional to 346,111.34, 477,543.38 and 202,794.38 is: 279,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,111.34 : 477,543.38 = 202,794.38 : x
  2. Step 2: Convert to fraction form
    346,111.34/477,543.38 = 202,794.38/x
  3. Step 3: Cross multiply
    346,111.34x = 477,543.38 × 202,794.38
  4. Step 4: Simplify right side
    346,111.34x = 96,843,113,670.20
  5. Step 5: Solve for x
    x = 96,843,113,670.20/346,111.34
  6. Step 6: Final answer
    x = 279,803.35

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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.