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Finding the Fourth Proportional to 411,111.78, 616,674.50 and 144,875.52

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Solution

The fourth proportional to 411,111.78, 616,674.50 and 144,875.52 is: 217,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,111.78 : 616,674.50 = 144,875.52 : x
  2. Step 2: Convert to fraction form
    411,111.78/616,674.50 = 144,875.52/x
  3. Step 3: Cross multiply
    411,111.78x = 616,674.50 × 144,875.52
  4. Step 4: Simplify right side
    411,111.78x = 89,341,038,858.24
  5. Step 5: Solve for x
    x = 89,341,038,858.24/411,111.78
  6. Step 6: Final answer
    x = 217,315.69

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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.