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Finding the Fourth Proportional to 447,345.50, 617,353.79 and 256,395.74

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Solution

The fourth proportional to 447,345.50, 617,353.79 and 256,395.74 is: 353,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,345.50 : 617,353.79 = 256,395.74 : x
  2. Step 2: Convert to fraction form
    447,345.50/617,353.79 = 256,395.74/x
  3. Step 3: Cross multiply
    447,345.50x = 617,353.79 × 256,395.74
  4. Step 4: Simplify right side
    447,345.50x = 158,286,877,460.11
  5. Step 5: Solve for x
    x = 158,286,877,460.11/447,345.50
  6. Step 6: Final answer
    x = 353,835.86

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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.