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Finding the Fourth Proportional to 499,305.90, 688,848.53 and 317,985.38

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Solution

The fourth proportional to 499,305.90, 688,848.53 and 317,985.38 is: 438,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,305.90 : 688,848.53 = 317,985.38 : x
  2. Step 2: Convert to fraction form
    499,305.90/688,848.53 = 317,985.38/x
  3. Step 3: Cross multiply
    499,305.90x = 688,848.53 × 317,985.38
  4. Step 4: Simplify right side
    499,305.90x = 219,043,756,540.32
  5. Step 5: Solve for x
    x = 219,043,756,540.32/499,305.90
  6. Step 6: Final answer
    x = 438,696.51

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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.