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Finding the Fourth Proportional to 369,980.65, 510,573.29 and 200,214.77

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Solution

The fourth proportional to 369,980.65, 510,573.29 and 200,214.77 is: 276,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,980.65 : 510,573.29 = 200,214.77 : x
  2. Step 2: Convert to fraction form
    369,980.65/510,573.29 = 200,214.77/x
  3. Step 3: Cross multiply
    369,980.65x = 510,573.29 × 200,214.77
  4. Step 4: Simplify right side
    369,980.65x = 102,224,312,824.42
  5. Step 5: Solve for x
    x = 102,224,312,824.42/369,980.65
  6. Step 6: Final answer
    x = 276,296.38

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1.5x scale

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.