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Finding the Fourth Proportional to 346,460.52, 477,849.78 and 208,495.67

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Solution

The fourth proportional to 346,460.52, 477,849.78 and 208,495.67 is: 287,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,460.52 : 477,849.78 = 208,495.67 : x
  2. Step 2: Convert to fraction form
    346,460.52/477,849.78 = 208,495.67/x
  3. Step 3: Cross multiply
    346,460.52x = 477,849.78 × 208,495.67
  4. Step 4: Simplify right side
    346,460.52x = 99,629,610,339.11
  5. Step 5: Solve for x
    x = 99,629,610,339.11/346,460.52
  6. Step 6: Final answer
    x = 287,564.11

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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.