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Finding the Fourth Proportional to 678,133.12, 935,810.34 and 383,777.38

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Solution

The fourth proportional to 678,133.12, 935,810.34 and 383,777.38 is: 529,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,133.12 : 935,810.34 = 383,777.38 : x
  2. Step 2: Convert to fraction form
    678,133.12/935,810.34 = 383,777.38/x
  3. Step 3: Cross multiply
    678,133.12x = 935,810.34 × 383,777.38
  4. Step 4: Simplify right side
    678,133.12x = 359,142,838,543.22
  5. Step 5: Solve for x
    x = 359,142,838,543.22/678,133.12
  6. Step 6: Final answer
    x = 529,605.22

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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.