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Finding the Fourth Proportional to 524,954.94, 724,431.51 and 298,599.90

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Solution

The fourth proportional to 524,954.94, 724,431.51 and 298,599.90 is: 412,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,954.94 : 724,431.51 = 298,599.90 : x
  2. Step 2: Convert to fraction form
    524,954.94/724,431.51 = 298,599.90/x
  3. Step 3: Cross multiply
    524,954.94x = 724,431.51 × 298,599.90
  4. Step 4: Simplify right side
    524,954.94x = 216,315,176,442.85
  5. Step 5: Solve for x
    x = 216,315,176,442.85/524,954.94
  6. Step 6: Final answer
    x = 412,064.27

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1.5x scale

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.