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Finding the Fourth Proportional to 585,083.10, 877,624.65 and 517,431.90

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Solution

The fourth proportional to 585,083.10, 877,624.65 and 517,431.90 is: 776,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,083.10 : 877,624.65 = 517,431.90 : x
  2. Step 2: Convert to fraction form
    585,083.10/877,624.65 = 517,431.90/x
  3. Step 3: Cross multiply
    585,083.10x = 877,624.65 × 517,431.90
  4. Step 4: Simplify right side
    585,083.10x = 454,110,990,136.34
  5. Step 5: Solve for x
    x = 454,110,990,136.34/585,083.10
  6. Step 6: Final answer
    x = 776,147.85

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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.