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Finding the Fourth Proportional to 587,689.40, 883,413.30 and 546,087.80

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Solution

The fourth proportional to 587,689.40, 883,413.30 and 546,087.80 is: 820,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,689.40 : 883,413.30 = 546,087.80 : x
  2. Step 2: Convert to fraction form
    587,689.40/883,413.30 = 546,087.80/x
  3. Step 3: Cross multiply
    587,689.40x = 883,413.30 × 546,087.80
  4. Step 4: Simplify right side
    587,689.40x = 482,421,225,487.74
  5. Step 5: Solve for x
    x = 482,421,225,487.74/587,689.40
  6. Step 6: Final answer
    x = 820,877.87

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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.