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Finding the Fourth Proportional to 292,160.81, 438,380 and 202,341.74

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Solution

The fourth proportional to 292,160.81, 438,380 and 202,341.74 is: 303,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,160.81 : 438,380 = 202,341.74 : x
  2. Step 2: Convert to fraction form
    292,160.81/438,380 = 202,341.74/x
  3. Step 3: Cross multiply
    292,160.81x = 438,380 × 202,341.74
  4. Step 4: Simplify right side
    292,160.81x = 88,702,571,981.20
  5. Step 5: Solve for x
    x = 88,702,571,981.20/292,160.81
  6. Step 6: Final answer
    x = 303,608.73

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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.