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Finding the Fourth Proportional to 567,461.16, 783,101.70 and 312,821.46

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Solution

The fourth proportional to 567,461.16, 783,101.70 and 312,821.46 is: 431,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,461.16 : 783,101.70 = 312,821.46 : x
  2. Step 2: Convert to fraction form
    567,461.16/783,101.70 = 312,821.46/x
  3. Step 3: Cross multiply
    567,461.16x = 783,101.70 × 312,821.46
  4. Step 4: Simplify right side
    567,461.16x = 244,971,017,122.48
  5. Step 5: Solve for x
    x = 244,971,017,122.48/567,461.16
  6. Step 6: Final answer
    x = 431,696.54

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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.