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Finding the Fourth Proportional to 546,056, 819,084 and 152,072

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Solution

The fourth proportional to 546,056, 819,084 and 152,072 is: 228,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,056 : 819,084 = 152,072 : x
  2. Step 2: Convert to fraction form
    546,056/819,084 = 152,072/x
  3. Step 3: Cross multiply
    546,056x = 819,084 × 152,072
  4. Step 4: Simplify right side
    546,056x = 124,559,742,048
  5. Step 5: Solve for x
    x = 124,559,742,048/546,056
  6. Step 6: Final answer
    x = 228,108

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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.