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Finding the Fourth Proportional to 470,458.81, 705,465.87 and 182,405.26

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Solution

The fourth proportional to 470,458.81, 705,465.87 and 182,405.26 is: 273,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,458.81 : 705,465.87 = 182,405.26 : x
  2. Step 2: Convert to fraction form
    470,458.81/705,465.87 = 182,405.26/x
  3. Step 3: Cross multiply
    470,458.81x = 705,465.87 × 182,405.26
  4. Step 4: Simplify right side
    470,458.81x = 128,680,685,438.48
  5. Step 5: Solve for x
    x = 128,680,685,438.48/470,458.81
  6. Step 6: Final answer
    x = 273,521.68

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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.