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Finding the Fourth Proportional to 471,811.54, 707,017.47 and 346,540.18

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Solution

The fourth proportional to 471,811.54, 707,017.47 and 346,540.18 is: 519,296.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,811.54 : 707,017.47 = 346,540.18 : x
  2. Step 2: Convert to fraction form
    471,811.54/707,017.47 = 346,540.18/x
  3. Step 3: Cross multiply
    471,811.54x = 707,017.47 × 346,540.18
  4. Step 4: Simplify right side
    471,811.54x = 245,009,961,316.95
  5. Step 5: Solve for x
    x = 245,009,961,316.95/471,811.54
  6. Step 6: Final answer
    x = 519,296.25

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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.