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Finding the Fourth Proportional to 475,810.96, 713,458.84 and 219,366.60

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Solution

The fourth proportional to 475,810.96, 713,458.84 and 219,366.60 is: 328,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,810.96 : 713,458.84 = 219,366.60 : x
  2. Step 2: Convert to fraction form
    475,810.96/713,458.84 = 219,366.60/x
  3. Step 3: Cross multiply
    475,810.96x = 713,458.84 × 219,366.60
  4. Step 4: Simplify right side
    475,810.96x = 156,509,039,970.74
  5. Step 5: Solve for x
    x = 156,509,039,970.74/475,810.96
  6. Step 6: Final answer
    x = 328,931.14

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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.