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Finding the Fourth Proportional to 459,187.74, 688,762.53 and 159,736.14

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Solution

The fourth proportional to 459,187.74, 688,762.53 and 159,736.14 is: 239,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,187.74 : 688,762.53 = 159,736.14 : x
  2. Step 2: Convert to fraction form
    459,187.74/688,762.53 = 159,736.14/x
  3. Step 3: Cross multiply
    459,187.74x = 688,762.53 × 159,736.14
  4. Step 4: Simplify right side
    459,187.74x = 110,020,267,918.83
  5. Step 5: Solve for x
    x = 110,020,267,918.83/459,187.74
  6. Step 6: Final answer
    x = 239,597.57

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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.