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Finding the Fourth Proportional to 566,709.93, 782,031.65 and 312,013.53

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Solution

The fourth proportional to 566,709.93, 782,031.65 and 312,013.53 is: 430,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,709.93 : 782,031.65 = 312,013.53 : x
  2. Step 2: Convert to fraction form
    566,709.93/782,031.65 = 312,013.53/x
  3. Step 3: Cross multiply
    566,709.93x = 782,031.65 × 312,013.53
  4. Step 4: Simplify right side
    566,709.93x = 244,004,454,128.16
  5. Step 5: Solve for x
    x = 244,004,454,128.16/566,709.93
  6. Step 6: Final answer
    x = 430,563.22

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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.