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Finding the Fourth Proportional to 703,775.61, 972,017.47 and 463,132.48

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Solution

The fourth proportional to 703,775.61, 972,017.47 and 463,132.48 is: 639,653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,775.61 : 972,017.47 = 463,132.48 : x
  2. Step 2: Convert to fraction form
    703,775.61/972,017.47 = 463,132.48/x
  3. Step 3: Cross multiply
    703,775.61x = 972,017.47 × 463,132.48
  4. Step 4: Simplify right side
    703,775.61x = 450,172,861,484.43
  5. Step 5: Solve for x
    x = 450,172,861,484.43/703,775.61
  6. Step 6: Final answer
    x = 639,653.97

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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.