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Finding the Fourth Proportional to 346,578.18, 478,078.36 and 208,661.24

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Solution

The fourth proportional to 346,578.18, 478,078.36 and 208,661.24 is: 287,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578.18 : 478,078.36 = 208,661.24 : x
  2. Step 2: Convert to fraction form
    346,578.18/478,078.36 = 208,661.24/x
  3. Step 3: Cross multiply
    346,578.18x = 478,078.36 × 208,661.24
  4. Step 4: Simplify right side
    346,578.18x = 99,756,423,414.77
  5. Step 5: Solve for x
    x = 99,756,423,414.77/346,578.18
  6. Step 6: Final answer
    x = 287,832.38

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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.