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Finding the Fourth Proportional to 315,702.72, 473,538.66 and 116,007.72

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Solution

The fourth proportional to 315,702.72, 473,538.66 and 116,007.72 is: 174,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,702.72 : 473,538.66 = 116,007.72 : x
  2. Step 2: Convert to fraction form
    315,702.72/473,538.66 = 116,007.72/x
  3. Step 3: Cross multiply
    315,702.72x = 473,538.66 × 116,007.72
  4. Step 4: Simplify right side
    315,702.72x = 54,934,140,278.46
  5. Step 5: Solve for x
    x = 54,934,140,278.46/315,702.72
  6. Step 6: Final answer
    x = 174,005.91

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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.