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Finding the Fourth Proportional to 606,085.52, 909,439.86 and 464,838.20

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Solution

The fourth proportional to 606,085.52, 909,439.86 and 464,838.20 is: 697,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,085.52 : 909,439.86 = 464,838.20 : x
  2. Step 2: Convert to fraction form
    606,085.52/909,439.86 = 464,838.20/x
  3. Step 3: Cross multiply
    606,085.52x = 909,439.86 × 464,838.20
  4. Step 4: Simplify right side
    606,085.52x = 422,742,387,530.65
  5. Step 5: Solve for x
    x = 422,742,387,530.65/606,085.52
  6. Step 6: Final answer
    x = 697,496.27

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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.