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Finding the Fourth Proportional to 414,950.80, 623,009.40 and 257,486.80

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Solution

The fourth proportional to 414,950.80, 623,009.40 and 257,486.80 is: 386,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,950.80 : 623,009.40 = 257,486.80 : x
  2. Step 2: Convert to fraction form
    414,950.80/623,009.40 = 257,486.80/x
  3. Step 3: Cross multiply
    414,950.80x = 623,009.40 × 257,486.80
  4. Step 4: Simplify right side
    414,950.80x = 160,416,696,775.92
  5. Step 5: Solve for x
    x = 160,416,696,775.92/414,950.80
  6. Step 6: Final answer
    x = 386,592.09

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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.