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Finding the Fourth Proportional to 614,474.52, 920,495.25 and 289,818.02

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Solution

The fourth proportional to 614,474.52, 920,495.25 and 289,818.02 is: 434,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,474.52 : 920,495.25 = 289,818.02 : x
  2. Step 2: Convert to fraction form
    614,474.52/920,495.25 = 289,818.02/x
  3. Step 3: Cross multiply
    614,474.52x = 920,495.25 × 289,818.02
  4. Step 4: Simplify right side
    614,474.52x = 266,776,106,171.93
  5. Step 5: Solve for x
    x = 266,776,106,171.93/614,474.52
  6. Step 6: Final answer
    x = 434,153.24

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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.