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Finding the Fourth Proportional to 464,902.40, 696,041.40 and 451,780.40

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Solution

The fourth proportional to 464,902.40, 696,041.40 and 451,780.40 is: 676,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,902.40 : 696,041.40 = 451,780.40 : x
  2. Step 2: Convert to fraction form
    464,902.40/696,041.40 = 451,780.40/x
  3. Step 3: Cross multiply
    464,902.40x = 696,041.40 × 451,780.40
  4. Step 4: Simplify right side
    464,902.40x = 314,457,862,108.56
  5. Step 5: Solve for x
    x = 314,457,862,108.56/464,902.40
  6. Step 6: Final answer
    x = 676,395.44

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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.