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Finding the Fourth Proportional to 460,534.76, 689,802.24 and 223,379

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Solution

The fourth proportional to 460,534.76, 689,802.24 and 223,379 is: 334,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,534.76 : 689,802.24 = 223,379 : x
  2. Step 2: Convert to fraction form
    460,534.76/689,802.24 = 223,379/x
  3. Step 3: Cross multiply
    460,534.76x = 689,802.24 × 223,379
  4. Step 4: Simplify right side
    460,534.76x = 154,087,334,568.96
  5. Step 5: Solve for x
    x = 154,087,334,568.96/460,534.76
  6. Step 6: Final answer
    x = 334,583.51

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1.5x scale

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.