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Finding the Fourth Proportional to 541,431.79, 812,946.02 and 302,013.46

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Solution

The fourth proportional to 541,431.79, 812,946.02 and 302,013.46 is: 453,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,431.79 : 812,946.02 = 302,013.46 : x
  2. Step 2: Convert to fraction form
    541,431.79/812,946.02 = 302,013.46/x
  3. Step 3: Cross multiply
    541,431.79x = 812,946.02 × 302,013.46
  4. Step 4: Simplify right side
    541,431.79x = 245,520,641,498.37
  5. Step 5: Solve for x
    x = 245,520,641,498.37/541,431.79
  6. Step 6: Final answer
    x = 453,465.51

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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.