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Finding the Fourth Proportional to 475,590.40, 713,478.82 and 176,073.28

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Solution

The fourth proportional to 475,590.40, 713,478.82 and 176,073.28 is: 264,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,590.40 : 713,478.82 = 176,073.28 : x
  2. Step 2: Convert to fraction form
    475,590.40/713,478.82 = 176,073.28/x
  3. Step 3: Cross multiply
    475,590.40x = 713,478.82 × 176,073.28
  4. Step 4: Simplify right side
    475,590.40x = 125,624,556,047.93
  5. Step 5: Solve for x
    x = 125,624,556,047.93/475,590.40
  6. Step 6: Final answer
    x = 264,144.43

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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.