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Finding the Fourth Proportional to 302,689.56, 453,315.06 and 152,457.24

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Solution

The fourth proportional to 302,689.56, 453,315.06 and 152,457.24 is: 228,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,689.56 : 453,315.06 = 152,457.24 : x
  2. Step 2: Convert to fraction form
    302,689.56/453,315.06 = 152,457.24/x
  3. Step 3: Cross multiply
    302,689.56x = 453,315.06 × 152,457.24
  4. Step 4: Simplify right side
    302,689.56x = 69,111,162,898.03
  5. Step 5: Solve for x
    x = 69,111,162,898.03/302,689.56
  6. Step 6: Final answer
    x = 228,323.58

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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.