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Finding the Fourth Proportional to 423,058.62, 634,631.70 and 142,597.74

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Solution

The fourth proportional to 423,058.62, 634,631.70 and 142,597.74 is: 213,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,058.62 : 634,631.70 = 142,597.74 : x
  2. Step 2: Convert to fraction form
    423,058.62/634,631.70 = 142,597.74/x
  3. Step 3: Cross multiply
    423,058.62x = 634,631.70 × 142,597.74
  4. Step 4: Simplify right side
    423,058.62x = 90,497,046,152.36
  5. Step 5: Solve for x
    x = 90,497,046,152.36/423,058.62
  6. Step 6: Final answer
    x = 213,911.36

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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.