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Finding the Fourth Proportional to 470,258.34, 705,377.79 and 115,274.22

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Solution

The fourth proportional to 470,258.34, 705,377.79 and 115,274.22 is: 172,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,258.34 : 705,377.79 = 115,274.22 : x
  2. Step 2: Convert to fraction form
    470,258.34/705,377.79 = 115,274.22/x
  3. Step 3: Cross multiply
    470,258.34x = 705,377.79 × 115,274.22
  4. Step 4: Simplify right side
    470,258.34x = 81,311,874,547.57
  5. Step 5: Solve for x
    x = 81,311,874,547.57/470,258.34
  6. Step 6: Final answer
    x = 172,908.95

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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.