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Finding the Fourth Proportional to 423,058.89, 634,590.50 and 142,578.57

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Solution

The fourth proportional to 423,058.89, 634,590.50 and 142,578.57 is: 213,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,058.89 : 634,590.50 = 142,578.57 : x
  2. Step 2: Convert to fraction form
    423,058.89/634,590.50 = 142,578.57/x
  3. Step 3: Cross multiply
    423,058.89x = 634,590.50 × 142,578.57
  4. Step 4: Simplify right side
    423,058.89x = 90,479,005,312.69
  5. Step 5: Solve for x
    x = 90,479,005,312.69/423,058.89
  6. Step 6: Final answer
    x = 213,868.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.