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Finding the Fourth Proportional to 415,461.54, 622,925.97 and 175,510.50

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Solution

The fourth proportional to 415,461.54, 622,925.97 and 175,510.50 is: 263,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,461.54 : 622,925.97 = 175,510.50 : x
  2. Step 2: Convert to fraction form
    415,461.54/622,925.97 = 175,510.50/x
  3. Step 3: Cross multiply
    415,461.54x = 622,925.97 × 175,510.50
  4. Step 4: Simplify right side
    415,461.54x = 109,330,048,457.69
  5. Step 5: Solve for x
    x = 109,330,048,457.69/415,461.54
  6. Step 6: Final answer
    x = 263,153.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.