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Finding the Fourth Proportional to 475,392.33, 712,830.92 and 208,840.77

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Solution

The fourth proportional to 475,392.33, 712,830.92 and 208,840.77 is: 313,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,392.33 : 712,830.92 = 208,840.77 : x
  2. Step 2: Convert to fraction form
    475,392.33/712,830.92 = 208,840.77/x
  3. Step 3: Cross multiply
    475,392.33x = 712,830.92 × 208,840.77
  4. Step 4: Simplify right side
    475,392.33x = 148,868,157,168.41
  5. Step 5: Solve for x
    x = 148,868,157,168.41/475,392.33
  6. Step 6: Final answer
    x = 313,148.00

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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.