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Finding the Fourth Proportional to 299,005.37, 412,612.23 and 163,038.21

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Solution

The fourth proportional to 299,005.37, 412,612.23 and 163,038.21 is: 224,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,005.37 : 412,612.23 = 163,038.21 : x
  2. Step 2: Convert to fraction form
    299,005.37/412,612.23 = 163,038.21/x
  3. Step 3: Cross multiply
    299,005.37x = 412,612.23 × 163,038.21
  4. Step 4: Simplify right side
    299,005.37x = 67,271,559,403.31
  5. Step 5: Solve for x
    x = 67,271,559,403.31/299,005.37
  6. Step 6: Final answer
    x = 224,984.46

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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.