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Finding the Fourth Proportional to 464,829.78, 697,152.86 and 127,783.46

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Solution

The fourth proportional to 464,829.78, 697,152.86 and 127,783.46 is: 191,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,829.78 : 697,152.86 = 127,783.46 : x
  2. Step 2: Convert to fraction form
    464,829.78/697,152.86 = 127,783.46/x
  3. Step 3: Cross multiply
    464,829.78x = 697,152.86 × 127,783.46
  4. Step 4: Simplify right side
    464,829.78x = 89,084,604,599.70
  5. Step 5: Solve for x
    x = 89,084,604,599.70/464,829.78
  6. Step 6: Final answer
    x = 191,649.95

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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.