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Finding the Fourth Proportional to 463,437.37, 639,490.71 and 259,459.93

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Solution

The fourth proportional to 463,437.37, 639,490.71 and 259,459.93 is: 358,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,437.37 : 639,490.71 = 259,459.93 : x
  2. Step 2: Convert to fraction form
    463,437.37/639,490.71 = 259,459.93/x
  3. Step 3: Cross multiply
    463,437.37x = 639,490.71 × 259,459.93
  4. Step 4: Simplify right side
    463,437.37x = 165,922,214,852.25
  5. Step 5: Solve for x
    x = 165,922,214,852.25/463,437.37
  6. Step 6: Final answer
    x = 358,025.11

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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.