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Finding the Fourth Proportional to 634,076, 950,443.68 and 234,460.16

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Solution

The fourth proportional to 634,076, 950,443.68 and 234,460.16 is: 351,442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,076 : 950,443.68 = 234,460.16 : x
  2. Step 2: Convert to fraction form
    634,076/950,443.68 = 234,460.16/x
  3. Step 3: Cross multiply
    634,076x = 950,443.68 × 234,460.16
  4. Step 4: Simplify right side
    634,076x = 222,841,177,283.79
  5. Step 5: Solve for x
    x = 222,841,177,283.79/634,076
  6. Step 6: Final answer
    x = 351,442.38

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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.