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Finding the Fourth Proportional to 401,573.25, 602,359.88 and 152,255.25

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Solution

The fourth proportional to 401,573.25, 602,359.88 and 152,255.25 is: 228,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,573.25 : 602,359.88 = 152,255.25 : x
  2. Step 2: Convert to fraction form
    401,573.25/602,359.88 = 152,255.25/x
  3. Step 3: Cross multiply
    401,573.25x = 602,359.88 × 152,255.25
  4. Step 4: Simplify right side
    401,573.25x = 91,712,453,358.09
  5. Step 5: Solve for x
    x = 91,712,453,358.09/401,573.25
  6. Step 6: Final answer
    x = 228,382.88

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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.