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Finding the Fourth Proportional to 471,297, 706,053.52 and 278,594.51

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Solution

The fourth proportional to 471,297, 706,053.52 and 278,594.51 is: 417,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,297 : 706,053.52 = 278,594.51 : x
  2. Step 2: Convert to fraction form
    471,297/706,053.52 = 278,594.51/x
  3. Step 3: Cross multiply
    471,297x = 706,053.52 × 278,594.51
  4. Step 4: Simplify right side
    471,297x = 196,702,634,438.18
  5. Step 5: Solve for x
    x = 196,702,634,438.18/471,297
  6. Step 6: Final answer
    x = 417,364.50

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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.