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Finding the Fourth Proportional to 429,998.40, 644,803.20 and 193,219.20

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Solution

The fourth proportional to 429,998.40, 644,803.20 and 193,219.20 is: 289,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,998.40 : 644,803.20 = 193,219.20 : x
  2. Step 2: Convert to fraction form
    429,998.40/644,803.20 = 193,219.20/x
  3. Step 3: Cross multiply
    429,998.40x = 644,803.20 × 193,219.20
  4. Step 4: Simplify right side
    429,998.40x = 124,588,358,461.44
  5. Step 5: Solve for x
    x = 124,588,358,461.44/429,998.40
  6. Step 6: Final answer
    x = 289,741.45

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.