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Finding the Fourth Proportional to 710,696.15, 1,065,740.76 and 411,383.33

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Solution

The fourth proportional to 710,696.15, 1,065,740.76 and 411,383.33 is: 616,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,696.15 : 1,065,740.76 = 411,383.33 : x
  2. Step 2: Convert to fraction form
    710,696.15/1,065,740.76 = 411,383.33/x
  3. Step 3: Cross multiply
    710,696.15x = 1,065,740.76 × 411,383.33
  4. Step 4: Simplify right side
    710,696.15x = 438,427,982,765.53
  5. Step 5: Solve for x
    x = 438,427,982,765.53/710,696.15
  6. Step 6: Final answer
    x = 616,899.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.