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Finding the Fourth Proportional to 459,129.68, 633,416.73 and 265,501.58

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Solution

The fourth proportional to 459,129.68, 633,416.73 and 265,501.58 is: 366,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,129.68 : 633,416.73 = 265,501.58 : x
  2. Step 2: Convert to fraction form
    459,129.68/633,416.73 = 265,501.58/x
  3. Step 3: Cross multiply
    459,129.68x = 633,416.73 × 265,501.58
  4. Step 4: Simplify right side
    459,129.68x = 168,173,142,613.43
  5. Step 5: Solve for x
    x = 168,173,142,613.43/459,129.68
  6. Step 6: Final answer
    x = 366,286.80

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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.