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Finding the Fourth Proportional to 470,465.34, 705,741.72 and 133,514.26

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Solution

The fourth proportional to 470,465.34, 705,741.72 and 133,514.26 is: 200,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,465.34 : 705,741.72 = 133,514.26 : x
  2. Step 2: Convert to fraction form
    470,465.34/705,741.72 = 133,514.26/x
  3. Step 3: Cross multiply
    470,465.34x = 705,741.72 × 133,514.26
  4. Step 4: Simplify right side
    470,465.34x = 94,226,583,496.93
  5. Step 5: Solve for x
    x = 94,226,583,496.93/470,465.34
  6. Step 6: Final answer
    x = 200,283.79

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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.