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Finding the Fourth Proportional to 464,291.70, 696,634.38 and 253,683.60

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Solution

The fourth proportional to 464,291.70, 696,634.38 and 253,683.60 is: 380,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,291.70 : 696,634.38 = 253,683.60 : x
  2. Step 2: Convert to fraction form
    464,291.70/696,634.38 = 253,683.60/x
  3. Step 3: Cross multiply
    464,291.70x = 696,634.38 × 253,683.60
  4. Step 4: Simplify right side
    464,291.70x = 176,724,717,402.17
  5. Step 5: Solve for x
    x = 176,724,717,402.17/464,291.70
  6. Step 6: Final answer
    x = 380,632.95

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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.