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Finding the Fourth Proportional to 459,321, 633,987.68 and 298,166.64

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Solution

The fourth proportional to 459,321, 633,987.68 and 298,166.64 is: 411,550.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,321 : 633,987.68 = 298,166.64 : x
  2. Step 2: Convert to fraction form
    459,321/633,987.68 = 298,166.64/x
  3. Step 3: Cross multiply
    459,321x = 633,987.68 × 298,166.64
  4. Step 4: Simplify right side
    459,321x = 189,033,976,347.00
  5. Step 5: Solve for x
    x = 189,033,976,347.00/459,321
  6. Step 6: Final answer
    x = 411,550.91

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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.