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Finding the Fourth Proportional to 302,603.14, 453,904.83 and 302,165.86

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Solution

The fourth proportional to 302,603.14, 453,904.83 and 302,165.86 is: 453,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,603.14 : 453,904.83 = 302,165.86 : x
  2. Step 2: Convert to fraction form
    302,603.14/453,904.83 = 302,165.86/x
  3. Step 3: Cross multiply
    302,603.14x = 453,904.83 × 302,165.86
  4. Step 4: Simplify right side
    302,603.14x = 137,154,543,315.10
  5. Step 5: Solve for x
    x = 137,154,543,315.10/302,603.14
  6. Step 6: Final answer
    x = 453,248.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.