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Finding the Fourth Proportional to 598,152.16, 825,447 and 329,880.16

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Solution

The fourth proportional to 598,152.16, 825,447 and 329,880.16 is: 455,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,152.16 : 825,447 = 329,880.16 : x
  2. Step 2: Convert to fraction form
    598,152.16/825,447 = 329,880.16/x
  3. Step 3: Cross multiply
    598,152.16x = 825,447 × 329,880.16
  4. Step 4: Simplify right side
    598,152.16x = 272,298,588,431.52
  5. Step 5: Solve for x
    x = 272,298,588,431.52/598,152.16
  6. Step 6: Final answer
    x = 455,232.98

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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.