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Finding the Fourth Proportional to 370,070.70, 510,669.06 and 208,941.65

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Solution

The fourth proportional to 370,070.70, 510,669.06 and 208,941.65 is: 288,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,070.70 : 510,669.06 = 208,941.65 : x
  2. Step 2: Convert to fraction form
    370,070.70/510,669.06 = 208,941.65/x
  3. Step 3: Cross multiply
    370,070.70x = 510,669.06 × 208,941.65
  4. Step 4: Simplify right side
    370,070.70x = 106,700,039,213.94
  5. Step 5: Solve for x
    x = 106,700,039,213.94/370,070.70
  6. Step 6: Final answer
    x = 288,323.39

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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.