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Finding the Fourth Proportional to 434,702.16, 651,983.16 and 119,085.36

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Solution

The fourth proportional to 434,702.16, 651,983.16 and 119,085.36 is: 178,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,702.16 : 651,983.16 = 119,085.36 : x
  2. Step 2: Convert to fraction form
    434,702.16/651,983.16 = 119,085.36/x
  3. Step 3: Cross multiply
    434,702.16x = 651,983.16 × 119,085.36
  4. Step 4: Simplify right side
    434,702.16x = 77,641,649,322.54
  5. Step 5: Solve for x
    x = 77,641,649,322.54/434,702.16
  6. Step 6: Final answer
    x = 178,608.84

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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.