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Finding the Fourth Proportional to 302,683.75, 452,904.63 and 189,461.95

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Solution

The fourth proportional to 302,683.75, 452,904.63 and 189,461.95 is: 283,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,683.75 : 452,904.63 = 189,461.95 : x
  2. Step 2: Convert to fraction form
    302,683.75/452,904.63 = 189,461.95/x
  3. Step 3: Cross multiply
    302,683.75x = 452,904.63 × 189,461.95
  4. Step 4: Simplify right side
    302,683.75x = 85,808,194,363.83
  5. Step 5: Solve for x
    x = 85,808,194,363.83/302,683.75
  6. Step 6: Final answer
    x = 283,491.25

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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.