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Finding the Fourth Proportional to 532,210.50, 734,480.46 and 305,870.58

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Solution

The fourth proportional to 532,210.50, 734,480.46 and 305,870.58 is: 422,118.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,210.50 : 734,480.46 = 305,870.58 : x
  2. Step 2: Convert to fraction form
    532,210.50/734,480.46 = 305,870.58/x
  3. Step 3: Cross multiply
    532,210.50x = 734,480.46 × 305,870.58
  4. Step 4: Simplify right side
    532,210.50x = 224,655,964,298.87
  5. Step 5: Solve for x
    x = 224,655,964,298.87/532,210.50
  6. Step 6: Final answer
    x = 422,118.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.