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Finding the Fourth Proportional to 484,495.94, 726,774.63 and 152,085.06

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Solution

The fourth proportional to 484,495.94, 726,774.63 and 152,085.06 is: 228,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,495.94 : 726,774.63 = 152,085.06 : x
  2. Step 2: Convert to fraction form
    484,495.94/726,774.63 = 152,085.06/x
  3. Step 3: Cross multiply
    484,495.94x = 726,774.63 × 152,085.06
  4. Step 4: Simplify right side
    484,495.94x = 110,531,563,210.03
  5. Step 5: Solve for x
    x = 110,531,563,210.03/484,495.94
  6. Step 6: Final answer
    x = 228,137.23

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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.