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Finding the Fourth Proportional to 566,852.52, 782,256.47 and 312,203.70

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Solution

The fourth proportional to 566,852.52, 782,256.47 and 312,203.70 is: 430,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,852.52 : 782,256.47 = 312,203.70 : x
  2. Step 2: Convert to fraction form
    566,852.52/782,256.47 = 312,203.70/x
  3. Step 3: Cross multiply
    566,852.52x = 782,256.47 × 312,203.70
  4. Step 4: Simplify right side
    566,852.52x = 244,223,366,238.58
  5. Step 5: Solve for x
    x = 244,223,366,238.58/566,852.52
  6. Step 6: Final answer
    x = 430,841.11

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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.