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Finding the Fourth Proportional to 490,289.60, 676,678.38 and 458,271.92

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Solution

The fourth proportional to 490,289.60, 676,678.38 and 458,271.92 is: 632,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,289.60 : 676,678.38 = 458,271.92 : x
  2. Step 2: Convert to fraction form
    490,289.60/676,678.38 = 458,271.92/x
  3. Step 3: Cross multiply
    490,289.60x = 676,678.38 × 458,271.92
  4. Step 4: Simplify right side
    490,289.60x = 310,102,700,425.09
  5. Step 5: Solve for x
    x = 310,102,700,425.09/490,289.60
  6. Step 6: Final answer
    x = 632,488.84

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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.