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Finding the Fourth Proportional to 517,661.42, 714,262.95 and 326,564.06

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Solution

The fourth proportional to 517,661.42, 714,262.95 and 326,564.06 is: 450,589.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,661.42 : 714,262.95 = 326,564.06 : x
  2. Step 2: Convert to fraction form
    517,661.42/714,262.95 = 326,564.06/x
  3. Step 3: Cross multiply
    517,661.42x = 714,262.95 × 326,564.06
  4. Step 4: Simplify right side
    517,661.42x = 233,252,610,645.23
  5. Step 5: Solve for x
    x = 233,252,610,645.23/517,661.42
  6. Step 6: Final answer
    x = 450,589.13

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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.