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Finding the Fourth Proportional to 470,414.64, 705,731.40 and 154,874.28

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Solution

The fourth proportional to 470,414.64, 705,731.40 and 154,874.28 is: 232,347.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,414.64 : 705,731.40 = 154,874.28 : x
  2. Step 2: Convert to fraction form
    470,414.64/705,731.40 = 154,874.28/x
  3. Step 3: Cross multiply
    470,414.64x = 705,731.40 × 154,874.28
  4. Step 4: Simplify right side
    470,414.64x = 109,299,642,448.39
  5. Step 5: Solve for x
    x = 109,299,642,448.39/470,414.64
  6. Step 6: Final answer
    x = 232,347.45

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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.