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Finding the Fourth Proportional to 464,356.44, 696,090.30 and 295,353.18

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Solution

The fourth proportional to 464,356.44, 696,090.30 and 295,353.18 is: 442,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,356.44 : 696,090.30 = 295,353.18 : x
  2. Step 2: Convert to fraction form
    464,356.44/696,090.30 = 295,353.18/x
  3. Step 3: Cross multiply
    464,356.44x = 696,090.30 × 295,353.18
  4. Step 4: Simplify right side
    464,356.44x = 205,592,483,672.15
  5. Step 5: Solve for x
    x = 205,592,483,672.15/464,356.44
  6. Step 6: Final answer
    x = 442,747.14

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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.