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Finding the Fourth Proportional to 470,075.43, 705,022.97 and 133,034.70

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Solution

The fourth proportional to 470,075.43, 705,022.97 and 133,034.70 is: 199,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,075.43 : 705,022.97 = 133,034.70 : x
  2. Step 2: Convert to fraction form
    470,075.43/705,022.97 = 133,034.70/x
  3. Step 3: Cross multiply
    470,075.43x = 705,022.97 × 133,034.70
  4. Step 4: Simplify right side
    470,075.43x = 93,792,518,641.89
  5. Step 5: Solve for x
    x = 93,792,518,641.89/470,075.43
  6. Step 6: Final answer
    x = 199,526.53

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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.