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Finding the Fourth Proportional to 657,293.80, 985,973.10 and 342,365.80

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Solution

The fourth proportional to 657,293.80, 985,973.10 and 342,365.80 is: 513,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,293.80 : 985,973.10 = 342,365.80 : x
  2. Step 2: Convert to fraction form
    657,293.80/985,973.10 = 342,365.80/x
  3. Step 3: Cross multiply
    657,293.80x = 985,973.10 × 342,365.80
  4. Step 4: Simplify right side
    657,293.80x = 337,563,469,159.98
  5. Step 5: Solve for x
    x = 337,563,469,159.98/657,293.80
  6. Step 6: Final answer
    x = 513,565.58

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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.