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Finding the Fourth Proportional to 491,967.01, 738,009.63 and 465,062.81

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Solution

The fourth proportional to 491,967.01, 738,009.63 and 465,062.81 is: 697,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,967.01 : 738,009.63 = 465,062.81 : x
  2. Step 2: Convert to fraction form
    491,967.01/738,009.63 = 465,062.81/x
  3. Step 3: Cross multiply
    491,967.01x = 738,009.63 × 465,062.81
  4. Step 4: Simplify right side
    491,967.01x = 343,220,828,644.81
  5. Step 5: Solve for x
    x = 343,220,828,644.81/491,967.01
  6. Step 6: Final answer
    x = 697,650.09

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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.