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Finding the Fourth Proportional to 412,656.66, 619,077.87 and 146,416.68

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Solution

The fourth proportional to 412,656.66, 619,077.87 and 146,416.68 is: 219,657.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,656.66 : 619,077.87 = 146,416.68 : x
  2. Step 2: Convert to fraction form
    412,656.66/619,077.87 = 146,416.68/x
  3. Step 3: Cross multiply
    412,656.66x = 619,077.87 × 146,416.68
  4. Step 4: Simplify right side
    412,656.66x = 90,643,326,386.87
  5. Step 5: Solve for x
    x = 90,643,326,386.87/412,656.66
  6. Step 6: Final answer
    x = 219,657.98

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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.