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Finding the Fourth Proportional to 302,461.70, 453,972.60 and 152,807.31

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Solution

The fourth proportional to 302,461.70, 453,972.60 and 152,807.31 is: 229,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,461.70 : 453,972.60 = 152,807.31 : x
  2. Step 2: Convert to fraction form
    302,461.70/453,972.60 = 152,807.31/x
  3. Step 3: Cross multiply
    302,461.70x = 453,972.60 × 152,807.31
  4. Step 4: Simplify right side
    302,461.70x = 69,370,331,819.71
  5. Step 5: Solve for x
    x = 69,370,331,819.71/302,461.70
  6. Step 6: Final answer
    x = 229,352.45

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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.