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Finding the Fourth Proportional to 341,335, 471,064.98 and 190,435.24

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Solution

The fourth proportional to 341,335, 471,064.98 and 190,435.24 is: 262,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,335 : 471,064.98 = 190,435.24 : x
  2. Step 2: Convert to fraction form
    341,335/471,064.98 = 190,435.24/x
  3. Step 3: Cross multiply
    341,335x = 471,064.98 × 190,435.24
  4. Step 4: Simplify right side
    341,335x = 89,707,372,521.90
  5. Step 5: Solve for x
    x = 89,707,372,521.90/341,335
  6. Step 6: Final answer
    x = 262,813.28

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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.