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Finding the Fourth Proportional to 470,772, 706,475.52 and 175,284

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Solution

The fourth proportional to 470,772, 706,475.52 and 175,284 is: 263,044.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,772 : 706,475.52 = 175,284 : x
  2. Step 2: Convert to fraction form
    470,772/706,475.52 = 175,284/x
  3. Step 3: Cross multiply
    470,772x = 706,475.52 × 175,284
  4. Step 4: Simplify right side
    470,772x = 123,833,855,047.68
  5. Step 5: Solve for x
    x = 123,833,855,047.68/470,772
  6. Step 6: Final answer
    x = 263,044.22

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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.