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Finding the Fourth Proportional to 566,208, 781,372.58 and 311,564.66

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Solution

The fourth proportional to 566,208, 781,372.58 and 311,564.66 is: 429,962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,208 : 781,372.58 = 311,564.66 : x
  2. Step 2: Convert to fraction form
    566,208/781,372.58 = 311,564.66/x
  3. Step 3: Cross multiply
    566,208x = 781,372.58 × 311,564.66
  4. Step 4: Simplify right side
    566,208x = 243,448,076,756.34
  5. Step 5: Solve for x
    x = 243,448,076,756.34/566,208
  6. Step 6: Final answer
    x = 429,962.27

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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.