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Finding the Fourth Proportional to 381,154.96, 525,984.60 and 209,075.20

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Solution

The fourth proportional to 381,154.96, 525,984.60 and 209,075.20 is: 288,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,154.96 : 525,984.60 = 209,075.20 : x
  2. Step 2: Convert to fraction form
    381,154.96/525,984.60 = 209,075.20/x
  3. Step 3: Cross multiply
    381,154.96x = 525,984.60 × 209,075.20
  4. Step 4: Simplify right side
    381,154.96x = 109,970,335,441.92
  5. Step 5: Solve for x
    x = 109,970,335,441.92/381,154.96
  6. Step 6: Final answer
    x = 288,518.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.