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Finding the Fourth Proportional to 316,702.44, 474,557.76 and 190,031.40

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Solution

The fourth proportional to 316,702.44, 474,557.76 and 190,031.40 is: 284,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,702.44 : 474,557.76 = 190,031.40 : x
  2. Step 2: Convert to fraction form
    316,702.44/474,557.76 = 190,031.40/x
  3. Step 3: Cross multiply
    316,702.44x = 474,557.76 × 190,031.40
  4. Step 4: Simplify right side
    316,702.44x = 90,180,875,513.66
  5. Step 5: Solve for x
    x = 90,180,875,513.66/316,702.44
  6. Step 6: Final answer
    x = 284,749.54

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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.