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Finding the Fourth Proportional to 546,952.68, 820,429.02 and 147,592.81

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Solution

The fourth proportional to 546,952.68, 820,429.02 and 147,592.81 is: 221,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,952.68 : 820,429.02 = 147,592.81 : x
  2. Step 2: Convert to fraction form
    546,952.68/820,429.02 = 147,592.81/x
  3. Step 3: Cross multiply
    546,952.68x = 820,429.02 × 147,592.81
  4. Step 4: Simplify right side
    546,952.68x = 121,089,427,507.33
  5. Step 5: Solve for x
    x = 121,089,427,507.33/546,952.68
  6. Step 6: Final answer
    x = 221,389.22

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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.