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Finding the Fourth Proportional to 475,582.38, 713,466.81 and 176,065.26

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Solution

The fourth proportional to 475,582.38, 713,466.81 and 176,065.26 is: 264,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,582.38 : 713,466.81 = 176,065.26 : x
  2. Step 2: Convert to fraction form
    475,582.38/713,466.81 = 176,065.26/x
  3. Step 3: Cross multiply
    475,582.38x = 713,466.81 × 176,065.26
  4. Step 4: Simplify right side
    475,582.38x = 125,616,719,404.02
  5. Step 5: Solve for x
    x = 125,616,719,404.02/475,582.38
  6. Step 6: Final answer
    x = 264,132.41

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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.