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Finding the Fourth Proportional to 302,788.96, 417,848.96 and 175,538.40

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Solution

The fourth proportional to 302,788.96, 417,848.96 and 175,538.40 is: 242,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,788.96 : 417,848.96 = 175,538.40 : x
  2. Step 2: Convert to fraction form
    302,788.96/417,848.96 = 175,538.40/x
  3. Step 3: Cross multiply
    302,788.96x = 417,848.96 × 175,538.40
  4. Step 4: Simplify right side
    302,788.96x = 73,348,537,880.06
  5. Step 5: Solve for x
    x = 73,348,537,880.06/302,788.96
  6. Step 6: Final answer
    x = 242,243.11

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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.