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Finding the Fourth Proportional to 309,301.80, 463,509.90 and 175,900.20

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Solution

The fourth proportional to 309,301.80, 463,509.90 and 175,900.20 is: 263,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,301.80 : 463,509.90 = 175,900.20 : x
  2. Step 2: Convert to fraction form
    309,301.80/463,509.90 = 175,900.20/x
  3. Step 3: Cross multiply
    309,301.80x = 463,509.90 × 175,900.20
  4. Step 4: Simplify right side
    309,301.80x = 81,531,484,111.98
  5. Step 5: Solve for x
    x = 81,531,484,111.98/309,301.80
  6. Step 6: Final answer
    x = 263,598.48

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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.