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Finding the Fourth Proportional to 306,486.88, 459,582.24 and 106,802.56

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Solution

The fourth proportional to 306,486.88, 459,582.24 and 106,802.56 is: 160,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,486.88 : 459,582.24 = 106,802.56 : x
  2. Step 2: Convert to fraction form
    306,486.88/459,582.24 = 106,802.56/x
  3. Step 3: Cross multiply
    306,486.88x = 459,582.24 × 106,802.56
  4. Step 4: Simplify right side
    306,486.88x = 49,084,559,762.53
  5. Step 5: Solve for x
    x = 49,084,559,762.53/306,486.88
  6. Step 6: Final answer
    x = 160,152.24

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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.