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Finding the Fourth Proportional to 397,424.98, 596,188.86 and 144,666.82

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Solution

The fourth proportional to 397,424.98, 596,188.86 and 144,666.82 is: 217,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,424.98 : 596,188.86 = 144,666.82 : x
  2. Step 2: Convert to fraction form
    397,424.98/596,188.86 = 144,666.82/x
  3. Step 3: Cross multiply
    397,424.98x = 596,188.86 × 144,666.82
  4. Step 4: Simplify right side
    397,424.98x = 86,248,746,495.63
  5. Step 5: Solve for x
    x = 86,248,746,495.63/397,424.98
  6. Step 6: Final answer
    x = 217,018.94

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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.