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Finding the Fourth Proportional to 710,852.44, 980,818.32 and 409,046.44

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Solution

The fourth proportional to 710,852.44, 980,818.32 and 409,046.44 is: 564,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,852.44 : 980,818.32 = 409,046.44 : x
  2. Step 2: Convert to fraction form
    710,852.44/980,818.32 = 409,046.44/x
  3. Step 3: Cross multiply
    710,852.44x = 980,818.32 × 409,046.44
  4. Step 4: Simplify right side
    710,852.44x = 401,200,242,082.78
  5. Step 5: Solve for x
    x = 401,200,242,082.78/710,852.44
  6. Step 6: Final answer
    x = 564,393.14

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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.