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Finding the Fourth Proportional to 369,980.39, 510,572.94 and 200,214.51

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Solution

The fourth proportional to 369,980.39, 510,572.94 and 200,214.51 is: 276,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,980.39 : 510,572.94 = 200,214.51 : x
  2. Step 2: Convert to fraction form
    369,980.39/510,572.94 = 200,214.51/x
  3. Step 3: Cross multiply
    369,980.39x = 510,572.94 × 200,214.51
  4. Step 4: Simplify right side
    369,980.39x = 102,224,111,001.36
  5. Step 5: Solve for x
    x = 102,224,111,001.36/369,980.39
  6. Step 6: Final answer
    x = 276,296.03

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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.