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Finding the Fourth Proportional to 371,796, 513,077.45 and 202,030.08

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Solution

The fourth proportional to 371,796, 513,077.45 and 202,030.08 is: 278,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,796 : 513,077.45 = 202,030.08 : x
  2. Step 2: Convert to fraction form
    371,796/513,077.45 = 202,030.08/x
  3. Step 3: Cross multiply
    371,796x = 513,077.45 × 202,030.08
  4. Step 4: Simplify right side
    371,796x = 103,657,077,259.55
  5. Step 5: Solve for x
    x = 103,657,077,259.55/371,796
  6. Step 6: Final answer
    x = 278,800.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.