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Finding the Fourth Proportional to 468,461.70, 646,477 and 253,601.60

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Solution

The fourth proportional to 468,461.70, 646,477 and 253,601.60 is: 349,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,461.70 : 646,477 = 253,601.60 : x
  2. Step 2: Convert to fraction form
    468,461.70/646,477 = 253,601.60/x
  3. Step 3: Cross multiply
    468,461.70x = 646,477 × 253,601.60
  4. Step 4: Simplify right side
    468,461.70x = 163,947,601,563.20
  5. Step 5: Solve for x
    x = 163,947,601,563.20/468,461.70
  6. Step 6: Final answer
    x = 349,970.13

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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.