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Finding the Fourth Proportional to 356,583.68, 534,875.52 and 146,078

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Solution

The fourth proportional to 356,583.68, 534,875.52 and 146,078 is: 219,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,583.68 : 534,875.52 = 146,078 : x
  2. Step 2: Convert to fraction form
    356,583.68/534,875.52 = 146,078/x
  3. Step 3: Cross multiply
    356,583.68x = 534,875.52 × 146,078
  4. Step 4: Simplify right side
    356,583.68x = 78,133,546,210.56
  5. Step 5: Solve for x
    x = 78,133,546,210.56/356,583.68
  6. Step 6: Final answer
    x = 219,117

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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.