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Finding the Fourth Proportional to 353,064.81, 529,298.70 and 153,234.98

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Solution

The fourth proportional to 353,064.81, 529,298.70 and 153,234.98 is: 229,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,064.81 : 529,298.70 = 153,234.98 : x
  2. Step 2: Convert to fraction form
    353,064.81/529,298.70 = 153,234.98/x
  3. Step 3: Cross multiply
    353,064.81x = 529,298.70 × 153,234.98
  4. Step 4: Simplify right side
    353,064.81x = 81,107,075,708.53
  5. Step 5: Solve for x
    x = 81,107,075,708.53/353,064.81
  6. Step 6: Final answer
    x = 229,722.91

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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.