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Finding the Fourth Proportional to 454,632.32, 681,707.64 and 201,802.88

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Solution

The fourth proportional to 454,632.32, 681,707.64 and 201,802.88 is: 302,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,632.32 : 681,707.64 = 201,802.88 : x
  2. Step 2: Convert to fraction form
    454,632.32/681,707.64 = 201,802.88/x
  3. Step 3: Cross multiply
    454,632.32x = 681,707.64 × 201,802.88
  4. Step 4: Simplify right side
    454,632.32x = 137,570,565,070.00
  5. Step 5: Solve for x
    x = 137,570,565,070.00/454,632.32
  6. Step 6: Final answer
    x = 302,597.42

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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.