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Finding the Fourth Proportional to 294,619.50, 406,574.91 and 160,483.50

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Solution

The fourth proportional to 294,619.50, 406,574.91 and 160,483.50 is: 221,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,619.50 : 406,574.91 = 160,483.50 : x
  2. Step 2: Convert to fraction form
    294,619.50/406,574.91 = 160,483.50/x
  3. Step 3: Cross multiply
    294,619.50x = 406,574.91 × 160,483.50
  4. Step 4: Simplify right side
    294,619.50x = 65,248,564,568.99
  5. Step 5: Solve for x
    x = 65,248,564,568.99/294,619.50
  6. Step 6: Final answer
    x = 221,467.23

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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.