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Finding the Fourth Proportional to 463,346, 639,413.16 and 262,142

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Solution

The fourth proportional to 463,346, 639,413.16 and 262,142 is: 361,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,346 : 639,413.16 = 262,142 : x
  2. Step 2: Convert to fraction form
    463,346/639,413.16 = 262,142/x
  3. Step 3: Cross multiply
    463,346x = 639,413.16 × 262,142
  4. Step 4: Simplify right side
    463,346x = 167,617,044,588.72
  5. Step 5: Solve for x
    x = 167,617,044,588.72/463,346
  6. Step 6: Final answer
    x = 361,753.52

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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.