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Finding the Fourth Proportional to 567,465.06, 783,103.50 and 312,810.78

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Solution

The fourth proportional to 567,465.06, 783,103.50 and 312,810.78 is: 431,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,465.06 : 783,103.50 = 312,810.78 : x
  2. Step 2: Convert to fraction form
    567,465.06/783,103.50 = 312,810.78/x
  3. Step 3: Cross multiply
    567,465.06x = 783,103.50 × 312,810.78
  4. Step 4: Simplify right side
    567,465.06x = 244,963,216,655.73
  5. Step 5: Solve for x
    x = 244,963,216,655.73/567,465.06
  6. Step 6: Final answer
    x = 431,679.82

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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.