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Finding the Fourth Proportional to 546,875.40, 820,313.10 and 346,546.20

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Solution

The fourth proportional to 546,875.40, 820,313.10 and 346,546.20 is: 519,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,875.40 : 820,313.10 = 346,546.20 : x
  2. Step 2: Convert to fraction form
    546,875.40/820,313.10 = 346,546.20/x
  3. Step 3: Cross multiply
    546,875.40x = 820,313.10 × 346,546.20
  4. Step 4: Simplify right side
    546,875.40x = 284,276,387,615.22
  5. Step 5: Solve for x
    x = 284,276,387,615.22/546,875.40
  6. Step 6: Final answer
    x = 519,819.30

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