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Finding the Fourth Proportional to 417,066.16, 626,596.32 and 267,600.08

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Solution

The fourth proportional to 417,066.16, 626,596.32 and 267,600.08 is: 402,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,066.16 : 626,596.32 = 267,600.08 : x
  2. Step 2: Convert to fraction form
    417,066.16/626,596.32 = 267,600.08/x
  3. Step 3: Cross multiply
    417,066.16x = 626,596.32 × 267,600.08
  4. Step 4: Simplify right side
    417,066.16x = 167,677,225,359.71
  5. Step 5: Solve for x
    x = 167,677,225,359.71/417,066.16
  6. Step 6: Final answer
    x = 402,039.87

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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.