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Finding the Fourth Proportional to 417,488.76, 626,328.66 and 180,870.84

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Solution

The fourth proportional to 417,488.76, 626,328.66 and 180,870.84 is: 271,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,488.76 : 626,328.66 = 180,870.84 : x
  2. Step 2: Convert to fraction form
    417,488.76/626,328.66 = 180,870.84/x
  3. Step 3: Cross multiply
    417,488.76x = 626,328.66 × 180,870.84
  4. Step 4: Simplify right side
    417,488.76x = 113,284,590,850.27
  5. Step 5: Solve for x
    x = 113,284,590,850.27/417,488.76
  6. Step 6: Final answer
    x = 271,347.64

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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.