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Finding the Fourth Proportional to 508,098.84, 701,125.86 and 293,308.10

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Solution

The fourth proportional to 508,098.84, 701,125.86 and 293,308.10 is: 404,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,098.84 : 701,125.86 = 293,308.10 : x
  2. Step 2: Convert to fraction form
    508,098.84/701,125.86 = 293,308.10/x
  3. Step 3: Cross multiply
    508,098.84x = 701,125.86 × 293,308.10
  4. Step 4: Simplify right side
    508,098.84x = 205,645,894,080.96
  5. Step 5: Solve for x
    x = 205,645,894,080.96/508,098.84
  6. Step 6: Final answer
    x = 404,736.01

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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.