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Finding the Fourth Proportional to 364,549.40, 546,824.10 and 298,064.60

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Solution

The fourth proportional to 364,549.40, 546,824.10 and 298,064.60 is: 447,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,549.40 : 546,824.10 = 298,064.60 : x
  2. Step 2: Convert to fraction form
    364,549.40/546,824.10 = 298,064.60/x
  3. Step 3: Cross multiply
    364,549.40x = 546,824.10 × 298,064.60
  4. Step 4: Simplify right side
    364,549.40x = 162,988,906,636.86
  5. Step 5: Solve for x
    x = 162,988,906,636.86/364,549.40
  6. Step 6: Final answer
    x = 447,096.90

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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.