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Finding the Fourth Proportional to 475,223.92, 710,865.92 and 362,047.84

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Solution

The fourth proportional to 475,223.92, 710,865.92 and 362,047.84 is: 541,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,223.92 : 710,865.92 = 362,047.84 : x
  2. Step 2: Convert to fraction form
    475,223.92/710,865.92 = 362,047.84/x
  3. Step 3: Cross multiply
    475,223.92x = 710,865.92 × 362,047.84
  4. Step 4: Simplify right side
    475,223.92x = 257,367,470,865.61
  5. Step 5: Solve for x
    x = 257,367,470,865.61/475,223.92
  6. Step 6: Final answer
    x = 541,570.95

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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.