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Finding the Fourth Proportional to 473,696.80, 710,545.20 and 341,504.80

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Solution

The fourth proportional to 473,696.80, 710,545.20 and 341,504.80 is: 512,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,696.80 : 710,545.20 = 341,504.80 : x
  2. Step 2: Convert to fraction form
    473,696.80/710,545.20 = 341,504.80/x
  3. Step 3: Cross multiply
    473,696.80x = 710,545.20 × 341,504.80
  4. Step 4: Simplify right side
    473,696.80x = 242,654,596,416.96
  5. Step 5: Solve for x
    x = 242,654,596,416.96/473,696.80
  6. Step 6: Final answer
    x = 512,257.20

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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.