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Finding the Fourth Proportional to 304,219.80, 456,329.70 and 257,563.80

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Solution

The fourth proportional to 304,219.80, 456,329.70 and 257,563.80 is: 386,345.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,219.80 : 456,329.70 = 257,563.80 : x
  2. Step 2: Convert to fraction form
    304,219.80/456,329.70 = 257,563.80/x
  3. Step 3: Cross multiply
    304,219.80x = 456,329.70 × 257,563.80
  4. Step 4: Simplify right side
    304,219.80x = 117,534,011,584.86
  5. Step 5: Solve for x
    x = 117,534,011,584.86/304,219.80
  6. Step 6: Final answer
    x = 386,345.70

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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.