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Finding the Fourth Proportional to 403,009.60, 604,368.60 and 163,022.80

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Solution

The fourth proportional to 403,009.60, 604,368.60 and 163,022.80 is: 244,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,009.60 : 604,368.60 = 163,022.80 : x
  2. Step 2: Convert to fraction form
    403,009.60/604,368.60 = 163,022.80/x
  3. Step 3: Cross multiply
    403,009.60x = 604,368.60 × 163,022.80
  4. Step 4: Simplify right side
    403,009.60x = 98,525,861,404.08
  5. Step 5: Solve for x
    x = 98,525,861,404.08/403,009.60
  6. Step 6: Final answer
    x = 244,475.22

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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.