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Finding the Fourth Proportional to 341,509.72, 471,280.86 and 188,547.88

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Solution

The fourth proportional to 341,509.72, 471,280.86 and 188,547.88 is: 260,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,509.72 : 471,280.86 = 188,547.88 : x
  2. Step 2: Convert to fraction form
    341,509.72/471,280.86 = 188,547.88/x
  3. Step 3: Cross multiply
    341,509.72x = 471,280.86 × 188,547.88
  4. Step 4: Simplify right side
    341,509.72x = 88,859,007,037.58
  5. Step 5: Solve for x
    x = 88,859,007,037.58/341,509.72
  6. Step 6: Final answer
    x = 260,194.66

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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.