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Finding the Fourth Proportional to 546,568.80, 821,602.80 and 389,882.40

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Solution

The fourth proportional to 546,568.80, 821,602.80 and 389,882.40 is: 586,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,568.80 : 821,602.80 = 389,882.40 : x
  2. Step 2: Convert to fraction form
    546,568.80/821,602.80 = 389,882.40/x
  3. Step 3: Cross multiply
    546,568.80x = 821,602.80 × 389,882.40
  4. Step 4: Simplify right side
    546,568.80x = 320,328,471,510.72
  5. Step 5: Solve for x
    x = 320,328,471,510.72/546,568.80
  6. Step 6: Final answer
    x = 586,071.64

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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.