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Finding the Fourth Proportional to 414,947.80, 623,004.90 and 257,483.80

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Solution

The fourth proportional to 414,947.80, 623,004.90 and 257,483.80 is: 386,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,947.80 : 623,004.90 = 257,483.80 : x
  2. Step 2: Convert to fraction form
    414,947.80/623,004.90 = 257,483.80/x
  3. Step 3: Cross multiply
    414,947.80x = 623,004.90 × 257,483.80
  4. Step 4: Simplify right side
    414,947.80x = 160,413,669,070.62
  5. Step 5: Solve for x
    x = 160,413,669,070.62/414,947.80
  6. Step 6: Final answer
    x = 386,587.59

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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.