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Finding the Fourth Proportional to 301,557.61, 416,156.75 and 163,742.40

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Solution

The fourth proportional to 301,557.61, 416,156.75 and 163,742.40 is: 225,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,557.61 : 416,156.75 = 163,742.40 : x
  2. Step 2: Convert to fraction form
    301,557.61/416,156.75 = 163,742.40/x
  3. Step 3: Cross multiply
    301,557.61x = 416,156.75 × 163,742.40
  4. Step 4: Simplify right side
    301,557.61x = 68,142,504,461.56
  5. Step 5: Solve for x
    x = 68,142,504,461.56/301,557.61
  6. Step 6: Final answer
    x = 225,968.45

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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.