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Finding the Fourth Proportional to 425,196, 586,770.48 and 234,208.80

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Solution

The fourth proportional to 425,196, 586,770.48 and 234,208.80 is: 323,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,196 : 586,770.48 = 234,208.80 : x
  2. Step 2: Convert to fraction form
    425,196/586,770.48 = 234,208.80/x
  3. Step 3: Cross multiply
    425,196x = 586,770.48 × 234,208.80
  4. Step 4: Simplify right side
    425,196x = 137,426,809,996.22
  5. Step 5: Solve for x
    x = 137,426,809,996.22/425,196
  6. Step 6: Final answer
    x = 323,208.14

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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.