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Finding the Fourth Proportional to 464,707.63, 697,006.08 and 127,782.52

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Solution

The fourth proportional to 464,707.63, 697,006.08 and 127,782.52 is: 191,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,707.63 : 697,006.08 = 127,782.52 : x
  2. Step 2: Convert to fraction form
    464,707.63/697,006.08 = 127,782.52/x
  3. Step 3: Cross multiply
    464,707.63x = 697,006.08 × 127,782.52
  4. Step 4: Simplify right side
    464,707.63x = 89,065,193,357.72
  5. Step 5: Solve for x
    x = 89,065,193,357.72/464,707.63
  6. Step 6: Final answer
    x = 191,658.56

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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.