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Finding the Fourth Proportional to 546,233.60, 819,964.80 and 422,124.80

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Solution

The fourth proportional to 546,233.60, 819,964.80 and 422,124.80 is: 633,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,233.60 : 819,964.80 = 422,124.80 : x
  2. Step 2: Convert to fraction form
    546,233.60/819,964.80 = 422,124.80/x
  3. Step 3: Cross multiply
    546,233.60x = 819,964.80 × 422,124.80
  4. Step 4: Simplify right side
    546,233.60x = 346,127,477,207.04
  5. Step 5: Solve for x
    x = 346,127,477,207.04/546,233.60
  6. Step 6: Final answer
    x = 633,662.00

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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.