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Finding the Fourth Proportional to 416,407.10, 624,615.76 and 146,543.28

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Solution

The fourth proportional to 416,407.10, 624,615.76 and 146,543.28 is: 219,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,407.10 : 624,615.76 = 146,543.28 : x
  2. Step 2: Convert to fraction form
    416,407.10/624,615.76 = 146,543.28/x
  3. Step 3: Cross multiply
    416,407.10x = 624,615.76 × 146,543.28
  4. Step 4: Simplify right side
    416,407.10x = 91,533,242,210.09
  5. Step 5: Solve for x
    x = 91,533,242,210.09/416,407.10
  6. Step 6: Final answer
    x = 219,816.72

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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.