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Finding the Fourth Proportional to 402,050.10, 602,856.45 and 165,416.70

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Solution

The fourth proportional to 402,050.10, 602,856.45 and 165,416.70 is: 248,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,050.10 : 602,856.45 = 165,416.70 : x
  2. Step 2: Convert to fraction form
    402,050.10/602,856.45 = 165,416.70/x
  3. Step 3: Cross multiply
    402,050.10x = 602,856.45 × 165,416.70
  4. Step 4: Simplify right side
    402,050.10x = 99,722,524,532.72
  5. Step 5: Solve for x
    x = 99,722,524,532.72/402,050.10
  6. Step 6: Final answer
    x = 248,035.07

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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.