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Finding the Fourth Proportional to 583,119.70, 803,506.17 and 447,146.62

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Solution

The fourth proportional to 583,119.70, 803,506.17 and 447,146.62 is: 616,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,119.70 : 803,506.17 = 447,146.62 : x
  2. Step 2: Convert to fraction form
    583,119.70/803,506.17 = 447,146.62/x
  3. Step 3: Cross multiply
    583,119.70x = 803,506.17 × 447,146.62
  4. Step 4: Simplify right side
    583,119.70x = 359,285,068,064.65
  5. Step 5: Solve for x
    x = 359,285,068,064.65/583,119.70
  6. Step 6: Final answer
    x = 616,142.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.