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Finding the Fourth Proportional to 314,055.28, 433,387 and 178,101.64

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Solution

The fourth proportional to 314,055.28, 433,387 and 178,101.64 is: 245,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,055.28 : 433,387 = 178,101.64 : x
  2. Step 2: Convert to fraction form
    314,055.28/433,387 = 178,101.64/x
  3. Step 3: Cross multiply
    314,055.28x = 433,387 × 178,101.64
  4. Step 4: Simplify right side
    314,055.28x = 77,186,935,454.68
  5. Step 5: Solve for x
    x = 77,186,935,454.68/314,055.28
  6. Step 6: Final answer
    x = 245,775.00

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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.