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Finding the Fourth Proportional to 401,385.60, 602,009.28 and 188,176.32

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Solution

The fourth proportional to 401,385.60, 602,009.28 and 188,176.32 is: 282,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,385.60 : 602,009.28 = 188,176.32 : x
  2. Step 2: Convert to fraction form
    401,385.60/602,009.28 = 188,176.32/x
  3. Step 3: Cross multiply
    401,385.60x = 602,009.28 × 188,176.32
  4. Step 4: Simplify right side
    401,385.60x = 113,283,890,916.25
  5. Step 5: Solve for x
    x = 113,283,890,916.25/401,385.60
  6. Step 6: Final answer
    x = 282,232.08

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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.