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Finding the Fourth Proportional to 292,285.60, 438,428.40 and 114,733.60

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Solution

The fourth proportional to 292,285.60, 438,428.40 and 114,733.60 is: 172,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,285.60 : 438,428.40 = 114,733.60 : x
  2. Step 2: Convert to fraction form
    292,285.60/438,428.40 = 114,733.60/x
  3. Step 3: Cross multiply
    292,285.60x = 438,428.40 × 114,733.60
  4. Step 4: Simplify right side
    292,285.60x = 50,302,468,674.24
  5. Step 5: Solve for x
    x = 50,302,468,674.24/292,285.60
  6. Step 6: Final answer
    x = 172,100.40

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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.