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Finding the Fourth Proportional to 460,218, 689,329.84 and 223,064.56

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Solution

The fourth proportional to 460,218, 689,329.84 and 223,064.56 is: 334,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,218 : 689,329.84 = 223,064.56 : x
  2. Step 2: Convert to fraction form
    460,218/689,329.84 = 223,064.56/x
  3. Step 3: Cross multiply
    460,218x = 689,329.84 × 223,064.56
  4. Step 4: Simplify right side
    460,218x = 153,765,057,454.47
  5. Step 5: Solve for x
    x = 153,765,057,454.47/460,218
  6. Step 6: Final answer
    x = 334,113.52

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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.