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Finding the Fourth Proportional to 483,011.44, 723,574.68 and 316,294

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Solution

The fourth proportional to 483,011.44, 723,574.68 and 316,294 is: 473,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,011.44 : 723,574.68 = 316,294 : x
  2. Step 2: Convert to fraction form
    483,011.44/723,574.68 = 316,294/x
  3. Step 3: Cross multiply
    483,011.44x = 723,574.68 × 316,294
  4. Step 4: Simplify right side
    483,011.44x = 228,862,329,835.92
  5. Step 5: Solve for x
    x = 228,862,329,835.92/483,011.44
  6. Step 6: Final answer
    x = 473,823.83

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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.