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Finding the Fourth Proportional to 302,689.13, 417,710.99 and 175,438.53

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Solution

The fourth proportional to 302,689.13, 417,710.99 and 175,438.53 is: 242,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,689.13 : 417,710.99 = 175,438.53 : x
  2. Step 2: Convert to fraction form
    302,689.13/417,710.99 = 175,438.53/x
  3. Step 3: Cross multiply
    302,689.13x = 417,710.99 × 175,438.53
  4. Step 4: Simplify right side
    302,689.13x = 73,282,602,489.04
  5. Step 5: Solve for x
    x = 73,282,602,489.04/302,689.13
  6. Step 6: Final answer
    x = 242,105.17

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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.