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Finding the Fourth Proportional to 423,030, 634,476.92 and 123,440.24

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Solution

The fourth proportional to 423,030, 634,476.92 and 123,440.24 is: 185,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,030 : 634,476.92 = 123,440.24 : x
  2. Step 2: Convert to fraction form
    423,030/634,476.92 = 123,440.24/x
  3. Step 3: Cross multiply
    423,030x = 634,476.92 × 123,440.24
  4. Step 4: Simplify right side
    423,030x = 78,319,983,279.26
  5. Step 5: Solve for x
    x = 78,319,983,279.26/423,030
  6. Step 6: Final answer
    x = 185,140.49

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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.