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Finding the Fourth Proportional to 470,223.45, 705,335.18 and 154,639.35

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Solution

The fourth proportional to 470,223.45, 705,335.18 and 154,639.35 is: 231,959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223.45 : 705,335.18 = 154,639.35 : x
  2. Step 2: Convert to fraction form
    470,223.45/705,335.18 = 154,639.35/x
  3. Step 3: Cross multiply
    470,223.45x = 705,335.18 × 154,639.35
  4. Step 4: Simplify right side
    470,223.45x = 109,072,572,994.14
  5. Step 5: Solve for x
    x = 109,072,572,994.14/470,223.45
  6. Step 6: Final answer
    x = 231,959.03

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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.