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Finding the Fourth Proportional to 364,064.40, 546,096.60 and 204,632.10

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Solution

The fourth proportional to 364,064.40, 546,096.60 and 204,632.10 is: 306,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.40 : 546,096.60 = 204,632.10 : x
  2. Step 2: Convert to fraction form
    364,064.40/546,096.60 = 204,632.10/x
  3. Step 3: Cross multiply
    364,064.40x = 546,096.60 × 204,632.10
  4. Step 4: Simplify right side
    364,064.40x = 111,748,894,060.86
  5. Step 5: Solve for x
    x = 111,748,894,060.86/364,064.40
  6. Step 6: Final answer
    x = 306,948.15

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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.