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Finding the Fourth Proportional to 475,119.01, 713,390.15 and 411,275.35

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Solution

The fourth proportional to 475,119.01, 713,390.15 and 411,275.35 is: 617,529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,119.01 : 713,390.15 = 411,275.35 : x
  2. Step 2: Convert to fraction form
    475,119.01/713,390.15 = 411,275.35/x
  3. Step 3: Cross multiply
    475,119.01x = 713,390.15 × 411,275.35
  4. Step 4: Simplify right side
    475,119.01x = 293,399,783,627.80
  5. Step 5: Solve for x
    x = 293,399,783,627.80/475,119.01
  6. Step 6: Final answer
    x = 617,529.03

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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.