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Finding the Fourth Proportional to 341,970.50, 471,943.71 and 189,005.40

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Solution

The fourth proportional to 341,970.50, 471,943.71 and 189,005.40 is: 260,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,970.50 : 471,943.71 = 189,005.40 : x
  2. Step 2: Convert to fraction form
    341,970.50/471,943.71 = 189,005.40/x
  3. Step 3: Cross multiply
    341,970.50x = 471,943.71 × 189,005.40
  4. Step 4: Simplify right side
    341,970.50x = 89,199,909,686.03
  5. Step 5: Solve for x
    x = 89,199,909,686.03/341,970.50
  6. Step 6: Final answer
    x = 260,840.95

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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.