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Finding the Fourth Proportional to 313,653.42, 432,842.18 and 170,413.43

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Solution

The fourth proportional to 313,653.42, 432,842.18 and 170,413.43 is: 235,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,653.42 : 432,842.18 = 170,413.43 : x
  2. Step 2: Convert to fraction form
    313,653.42/432,842.18 = 170,413.43/x
  3. Step 3: Cross multiply
    313,653.42x = 432,842.18 × 170,413.43
  4. Step 4: Simplify right side
    313,653.42x = 73,762,117,526.20
  5. Step 5: Solve for x
    x = 73,762,117,526.20/313,653.42
  6. Step 6: Final answer
    x = 235,170.77

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1.5x scale

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.