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Finding the Fourth Proportional to 477,856.82, 659,429.91 and 260,069.84

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Solution

The fourth proportional to 477,856.82, 659,429.91 and 260,069.84 is: 358,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,856.82 : 659,429.91 = 260,069.84 : x
  2. Step 2: Convert to fraction form
    477,856.82/659,429.91 = 260,069.84/x
  3. Step 3: Cross multiply
    477,856.82x = 659,429.91 × 260,069.84
  4. Step 4: Simplify right side
    477,856.82x = 171,497,830,360.63
  5. Step 5: Solve for x
    x = 171,497,830,360.63/477,856.82
  6. Step 6: Final answer
    x = 358,889.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.