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Finding the Fourth Proportional to 338,384.55, 466,970.64 and 202,424.22

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Solution

The fourth proportional to 338,384.55, 466,970.64 and 202,424.22 is: 279,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,384.55 : 466,970.64 = 202,424.22 : x
  2. Step 2: Convert to fraction form
    338,384.55/466,970.64 = 202,424.22/x
  3. Step 3: Cross multiply
    338,384.55x = 466,970.64 × 202,424.22
  4. Step 4: Simplify right side
    338,384.55x = 94,526,167,564.90
  5. Step 5: Solve for x
    x = 94,526,167,564.90/338,384.55
  6. Step 6: Final answer
    x = 279,345.40

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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.