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Finding the Fourth Proportional to 382,075.60, 573,113.40 and 193,118.80

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Solution

The fourth proportional to 382,075.60, 573,113.40 and 193,118.80 is: 289,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,075.60 : 573,113.40 = 193,118.80 : x
  2. Step 2: Convert to fraction form
    382,075.60/573,113.40 = 193,118.80/x
  3. Step 3: Cross multiply
    382,075.60x = 573,113.40 × 193,118.80
  4. Step 4: Simplify right side
    382,075.60x = 110,678,972,071.92
  5. Step 5: Solve for x
    x = 110,678,972,071.92/382,075.60
  6. Step 6: Final answer
    x = 289,678.20

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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.