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Finding the Fourth Proportional to 346,050.34, 477,459.24 and 202,733.38

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Solution

The fourth proportional to 346,050.34, 477,459.24 and 202,733.38 is: 279,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,050.34 : 477,459.24 = 202,733.38 : x
  2. Step 2: Convert to fraction form
    346,050.34/477,459.24 = 202,733.38/x
  3. Step 3: Cross multiply
    346,050.34x = 477,459.24 × 202,733.38
  4. Step 4: Simplify right side
    346,050.34x = 96,796,925,537.43
  5. Step 5: Solve for x
    x = 96,796,925,537.43/346,050.34
  6. Step 6: Final answer
    x = 279,719.20

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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.