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Finding the Fourth Proportional to 465,507.51, 642,400.79 and 264,303.51

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Solution

The fourth proportional to 465,507.51, 642,400.79 and 264,303.51 is: 364,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,507.51 : 642,400.79 = 264,303.51 : x
  2. Step 2: Convert to fraction form
    465,507.51/642,400.79 = 264,303.51/x
  3. Step 3: Cross multiply
    465,507.51x = 642,400.79 × 264,303.51
  4. Step 4: Simplify right side
    465,507.51x = 169,788,782,302.26
  5. Step 5: Solve for x
    x = 169,788,782,302.26/465,507.51
  6. Step 6: Final answer
    x = 364,739.08

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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.