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Finding the Fourth Proportional to 464,440, 696,077.16 and 251,199.40

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Solution

The fourth proportional to 464,440, 696,077.16 and 251,199.40 is: 376,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,440 : 696,077.16 = 251,199.40 : x
  2. Step 2: Convert to fraction form
    464,440/696,077.16 = 251,199.40/x
  3. Step 3: Cross multiply
    464,440x = 696,077.16 × 251,199.40
  4. Step 4: Simplify right side
    464,440x = 174,854,164,945.70
  5. Step 5: Solve for x
    x = 174,854,164,945.70/464,440
  6. Step 6: Final answer
    x = 376,483.86

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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.