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Finding the Fourth Proportional to 374,810.71, 517,251 and 205,044.84

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Solution

The fourth proportional to 374,810.71, 517,251 and 205,044.84 is: 282,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,810.71 : 517,251 = 205,044.84 : x
  2. Step 2: Convert to fraction form
    374,810.71/517,251 = 205,044.84/x
  3. Step 3: Cross multiply
    374,810.71x = 517,251 × 205,044.84
  4. Step 4: Simplify right side
    374,810.71x = 106,059,648,534.84
  5. Step 5: Solve for x
    x = 106,059,648,534.84/374,810.71
  6. Step 6: Final answer
    x = 282,968.56

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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.