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Finding the Fourth Proportional to 445,065.16, 614,285.04 and 290,209.76

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Solution

The fourth proportional to 445,065.16, 614,285.04 and 290,209.76 is: 400,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,065.16 : 614,285.04 = 290,209.76 : x
  2. Step 2: Convert to fraction form
    445,065.16/614,285.04 = 290,209.76/x
  3. Step 3: Cross multiply
    445,065.16x = 614,285.04 × 290,209.76
  4. Step 4: Simplify right side
    445,065.16x = 178,271,514,029.99
  5. Step 5: Solve for x
    x = 178,271,514,029.99/445,065.16
  6. Step 6: Final answer
    x = 400,551.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.