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Finding the Fourth Proportional to 475,899.54, 714,127.98 and 191,545.80

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Solution

The fourth proportional to 475,899.54, 714,127.98 and 191,545.80 is: 287,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,899.54 : 714,127.98 = 191,545.80 : x
  2. Step 2: Convert to fraction form
    475,899.54/714,127.98 = 191,545.80/x
  3. Step 3: Cross multiply
    475,899.54x = 714,127.98 × 191,545.80
  4. Step 4: Simplify right side
    475,899.54x = 136,788,215,231.48
  5. Step 5: Solve for x
    x = 136,788,215,231.48/475,899.54
  6. Step 6: Final answer
    x = 287,430.86

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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.