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Finding the Fourth Proportional to 309,868.80, 464,803.20 and 291,206.40

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Solution

The fourth proportional to 309,868.80, 464,803.20 and 291,206.40 is: 436,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,868.80 : 464,803.20 = 291,206.40 : x
  2. Step 2: Convert to fraction form
    309,868.80/464,803.20 = 291,206.40/x
  3. Step 3: Cross multiply
    309,868.80x = 464,803.20 × 291,206.40
  4. Step 4: Simplify right side
    309,868.80x = 135,353,666,580.48
  5. Step 5: Solve for x
    x = 135,353,666,580.48/309,868.80
  6. Step 6: Final answer
    x = 436,809.60

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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.