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Finding the Fourth Proportional to 546,921.40, 820,382.10 and 546,921.40

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Solution

The fourth proportional to 546,921.40, 820,382.10 and 546,921.40 is: 820,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,921.40 : 820,382.10 = 546,921.40 : x
  2. Step 2: Convert to fraction form
    546,921.40/820,382.10 = 546,921.40/x
  3. Step 3: Cross multiply
    546,921.40x = 820,382.10 × 546,921.40
  4. Step 4: Simplify right side
    546,921.40x = 448,684,526,666.94
  5. Step 5: Solve for x
    x = 448,684,526,666.94/546,921.40
  6. Step 6: Final answer
    x = 820,382.10

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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.