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Finding the Fourth Proportional to 829,010, 1,144,033.80 and 471,314

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Solution

The fourth proportional to 829,010, 1,144,033.80 and 471,314 is: 650,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,010 : 1,144,033.80 = 471,314 : x
  2. Step 2: Convert to fraction form
    829,010/1,144,033.80 = 471,314/x
  3. Step 3: Cross multiply
    829,010x = 1,144,033.80 × 471,314
  4. Step 4: Simplify right side
    829,010x = 539,199,146,413.20
  5. Step 5: Solve for x
    x = 539,199,146,413.20/829,010
  6. Step 6: Final answer
    x = 650,413.32

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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.