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Finding the Fourth Proportional to 432,075.80, 648,113.70 and 222,123.80

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Solution

The fourth proportional to 432,075.80, 648,113.70 and 222,123.80 is: 333,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,075.80 : 648,113.70 = 222,123.80 : x
  2. Step 2: Convert to fraction form
    432,075.80/648,113.70 = 222,123.80/x
  3. Step 3: Cross multiply
    432,075.80x = 648,113.70 × 222,123.80
  4. Step 4: Simplify right side
    432,075.80x = 143,961,477,876.06
  5. Step 5: Solve for x
    x = 143,961,477,876.06/432,075.80
  6. Step 6: Final answer
    x = 333,185.70

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1.5x scale

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.