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Finding the Fourth Proportional to 525,416.50, 788,050.86 and 170,433.64

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Solution

The fourth proportional to 525,416.50, 788,050.86 and 170,433.64 is: 255,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,416.50 : 788,050.86 = 170,433.64 : x
  2. Step 2: Convert to fraction form
    525,416.50/788,050.86 = 170,433.64/x
  3. Step 3: Cross multiply
    525,416.50x = 788,050.86 × 170,433.64
  4. Step 4: Simplify right side
    525,416.50x = 134,310,376,574.93
  5. Step 5: Solve for x
    x = 134,310,376,574.93/525,416.50
  6. Step 6: Final answer
    x = 255,626.49

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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.