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Finding the Fourth Proportional to 456,460.45, 684,752.94 and 190,158.64

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Solution

The fourth proportional to 456,460.45, 684,752.94 and 190,158.64 is: 285,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,460.45 : 684,752.94 = 190,158.64 : x
  2. Step 2: Convert to fraction form
    456,460.45/684,752.94 = 190,158.64/x
  3. Step 3: Cross multiply
    456,460.45x = 684,752.94 × 190,158.64
  4. Step 4: Simplify right side
    456,460.45x = 130,211,686,094.52
  5. Step 5: Solve for x
    x = 130,211,686,094.52/456,460.45
  6. Step 6: Final answer
    x = 285,263.90

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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.