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Finding the Fourth Proportional to 409,871.40, 614,807.10 and 289,602.60

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Solution

The fourth proportional to 409,871.40, 614,807.10 and 289,602.60 is: 434,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,871.40 : 614,807.10 = 289,602.60 : x
  2. Step 2: Convert to fraction form
    409,871.40/614,807.10 = 289,602.60/x
  3. Step 3: Cross multiply
    409,871.40x = 614,807.10 × 289,602.60
  4. Step 4: Simplify right side
    409,871.40x = 178,049,734,658.46
  5. Step 5: Solve for x
    x = 178,049,734,658.46/409,871.40
  6. Step 6: Final answer
    x = 434,403.90

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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.