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Finding the Fourth Proportional to 461,711.02, 692,785.70 and 319,774.72

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Solution

The fourth proportional to 461,711.02, 692,785.70 and 319,774.72 is: 479,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,711.02 : 692,785.70 = 319,774.72 : x
  2. Step 2: Convert to fraction form
    461,711.02/692,785.70 = 319,774.72/x
  3. Step 3: Cross multiply
    461,711.02x = 692,785.70 × 319,774.72
  4. Step 4: Simplify right side
    461,711.02x = 221,535,353,237.50
  5. Step 5: Solve for x
    x = 221,535,353,237.50/461,711.02
  6. Step 6: Final answer
    x = 479,813.87

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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.