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Finding the Fourth Proportional to 586,413.80, 822,638.20 and 586,413.80

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Solution

The fourth proportional to 586,413.80, 822,638.20 and 586,413.80 is: 822,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,413.80 : 822,638.20 = 586,413.80 : x
  2. Step 2: Convert to fraction form
    586,413.80/822,638.20 = 586,413.80/x
  3. Step 3: Cross multiply
    586,413.80x = 822,638.20 × 586,413.80
  4. Step 4: Simplify right side
    586,413.80x = 482,406,392,887.16
  5. Step 5: Solve for x
    x = 482,406,392,887.16/586,413.80
  6. Step 6: Final answer
    x = 822,638.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.