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Finding the Fourth Proportional to 546,538.64, 754,289.13 and 320,184.14

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Solution

The fourth proportional to 546,538.64, 754,289.13 and 320,184.14 is: 441,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,538.64 : 754,289.13 = 320,184.14 : x
  2. Step 2: Convert to fraction form
    546,538.64/754,289.13 = 320,184.14/x
  3. Step 3: Cross multiply
    546,538.64x = 754,289.13 × 320,184.14
  4. Step 4: Simplify right side
    546,538.64x = 241,511,416,400.40
  5. Step 5: Solve for x
    x = 241,511,416,400.40/546,538.64
  6. Step 6: Final answer
    x = 441,892.67

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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.