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Finding the Fourth Proportional to 417,655.70, 626,343.14 and 151,360.46

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Solution

The fourth proportional to 417,655.70, 626,343.14 and 151,360.46 is: 226,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,655.70 : 626,343.14 = 151,360.46 : x
  2. Step 2: Convert to fraction form
    417,655.70/626,343.14 = 151,360.46/x
  3. Step 3: Cross multiply
    417,655.70x = 626,343.14 × 151,360.46
  4. Step 4: Simplify right side
    417,655.70x = 94,803,583,034.93
  5. Step 5: Solve for x
    x = 94,803,583,034.93/417,655.70
  6. Step 6: Final answer
    x = 226,989.80

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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.