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Finding the Fourth Proportional to 657,117.80, 984,294.30 and 546,525.80

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Solution

The fourth proportional to 657,117.80, 984,294.30 and 546,525.80 is: 818,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,117.80 : 984,294.30 = 546,525.80 : x
  2. Step 2: Convert to fraction form
    657,117.80/984,294.30 = 546,525.80/x
  3. Step 3: Cross multiply
    657,117.80x = 984,294.30 × 546,525.80
  4. Step 4: Simplify right side
    657,117.80x = 537,942,229,742.94
  5. Step 5: Solve for x
    x = 537,942,229,742.94/657,117.80
  6. Step 6: Final answer
    x = 818,638.96

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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.