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Finding the Fourth Proportional to 570,411.10, 787,173.15 and 315,756.82

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Solution

The fourth proportional to 570,411.10, 787,173.15 and 315,756.82 is: 435,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,411.10 : 787,173.15 = 315,756.82 : x
  2. Step 2: Convert to fraction form
    570,411.10/787,173.15 = 315,756.82/x
  3. Step 3: Cross multiply
    570,411.10x = 787,173.15 × 315,756.82
  4. Step 4: Simplify right side
    570,411.10x = 248,555,290,633.38
  5. Step 5: Solve for x
    x = 248,555,290,633.38/570,411.10
  6. Step 6: Final answer
    x = 435,747.64

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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.