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Finding the Fourth Proportional to 475,068.54, 712,603.35 and 142,644.54

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Solution

The fourth proportional to 475,068.54, 712,603.35 and 142,644.54 is: 213,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,068.54 : 712,603.35 = 142,644.54 : x
  2. Step 2: Convert to fraction form
    475,068.54/712,603.35 = 142,644.54/x
  3. Step 3: Cross multiply
    475,068.54x = 712,603.35 × 142,644.54
  4. Step 4: Simplify right side
    475,068.54x = 101,648,977,063.21
  5. Step 5: Solve for x
    x = 101,648,977,063.21/475,068.54
  6. Step 6: Final answer
    x = 213,966.97

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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.