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Finding the Fourth Proportional to 429,014.64, 643,413.99 and 176,365.58

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Solution

The fourth proportional to 429,014.64, 643,413.99 and 176,365.58 is: 264,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,014.64 : 643,413.99 = 176,365.58 : x
  2. Step 2: Convert to fraction form
    429,014.64/643,413.99 = 176,365.58/x
  3. Step 3: Cross multiply
    429,014.64x = 643,413.99 × 176,365.58
  4. Step 4: Simplify right side
    429,014.64x = 113,476,081,526.46
  5. Step 5: Solve for x
    x = 113,476,081,526.46/429,014.64
  6. Step 6: Final answer
    x = 264,503.98

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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.