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Finding the Fourth Proportional to 415,206.64, 622,897.60 and 134,702.16

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Solution

The fourth proportional to 415,206.64, 622,897.60 and 134,702.16 is: 202,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,206.64 : 622,897.60 = 134,702.16 : x
  2. Step 2: Convert to fraction form
    415,206.64/622,897.60 = 134,702.16/x
  3. Step 3: Cross multiply
    415,206.64x = 622,897.60 × 134,702.16
  4. Step 4: Simplify right side
    415,206.64x = 83,905,652,178.82
  5. Step 5: Solve for x
    x = 83,905,652,178.82/415,206.64
  6. Step 6: Final answer
    x = 202,081.67

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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.