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Finding the Fourth Proportional to 302,226, 417,088.48 and 174,942.60

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Solution

The fourth proportional to 302,226, 417,088.48 and 174,942.60 is: 241,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,226 : 417,088.48 = 174,942.60 : x
  2. Step 2: Convert to fraction form
    302,226/417,088.48 = 174,942.60/x
  3. Step 3: Cross multiply
    302,226x = 417,088.48 × 174,942.60
  4. Step 4: Simplify right side
    302,226x = 72,966,543,121.25
  5. Step 5: Solve for x
    x = 72,966,543,121.25/302,226
  6. Step 6: Final answer
    x = 241,430.40

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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.