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Finding the Fourth Proportional to 510,064.48, 703,877.61 and 295,200.24

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Solution

The fourth proportional to 510,064.48, 703,877.61 and 295,200.24 is: 407,369.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,064.48 : 703,877.61 = 295,200.24 : x
  2. Step 2: Convert to fraction form
    510,064.48/703,877.61 = 295,200.24/x
  3. Step 3: Cross multiply
    510,064.48x = 703,877.61 × 295,200.24
  4. Step 4: Simplify right side
    510,064.48x = 207,784,839,402.63
  5. Step 5: Solve for x
    x = 207,784,839,402.63/510,064.48
  6. Step 6: Final answer
    x = 407,369.75

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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.