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Finding the Fourth Proportional to 465,507.60, 642,401.24 and 264,303.60

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Solution

The fourth proportional to 465,507.60, 642,401.24 and 264,303.60 is: 364,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,507.60 : 642,401.24 = 264,303.60 : x
  2. Step 2: Convert to fraction form
    465,507.60/642,401.24 = 264,303.60/x
  3. Step 3: Cross multiply
    465,507.60x = 642,401.24 × 264,303.60
  4. Step 4: Simplify right side
    465,507.60x = 169,788,960,376.46
  5. Step 5: Solve for x
    x = 169,788,960,376.46/465,507.60
  6. Step 6: Final answer
    x = 364,739.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.