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Finding the Fourth Proportional to 314,830.96, 472,386.02 and 165,035.50

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Solution

The fourth proportional to 314,830.96, 472,386.02 and 165,035.50 is: 247,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,830.96 : 472,386.02 = 165,035.50 : x
  2. Step 2: Convert to fraction form
    314,830.96/472,386.02 = 165,035.50/x
  3. Step 3: Cross multiply
    314,830.96x = 472,386.02 × 165,035.50
  4. Step 4: Simplify right side
    314,830.96x = 77,960,463,003.71
  5. Step 5: Solve for x
    x = 77,960,463,003.71/314,830.96
  6. Step 6: Final answer
    x = 247,626.42

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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.