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Finding the Fourth Proportional to 423,032.93, 634,233.80 and 254,513.77

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Solution

The fourth proportional to 423,032.93, 634,233.80 and 254,513.77 is: 381,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,032.93 : 634,233.80 = 254,513.77 : x
  2. Step 2: Convert to fraction form
    423,032.93/634,233.80 = 254,513.77/x
  3. Step 3: Cross multiply
    423,032.93x = 634,233.80 × 254,513.77
  4. Step 4: Simplify right side
    423,032.93x = 161,421,232,328.26
  5. Step 5: Solve for x
    x = 161,421,232,328.26/423,032.93
  6. Step 6: Final answer
    x = 381,580.78

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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.