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Finding the Fourth Proportional to 289,776.78, 434,784.78 and 127,587.51

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Solution

The fourth proportional to 289,776.78, 434,784.78 and 127,587.51 is: 191,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,776.78 : 434,784.78 = 127,587.51 : x
  2. Step 2: Convert to fraction form
    289,776.78/434,784.78 = 127,587.51/x
  3. Step 3: Cross multiply
    289,776.78x = 434,784.78 × 127,587.51
  4. Step 4: Simplify right side
    289,776.78x = 55,473,107,466.10
  5. Step 5: Solve for x
    x = 55,473,107,466.10/289,776.78
  6. Step 6: Final answer
    x = 191,433.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.