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Finding the Fourth Proportional to 602,198.60, 903,298.26 and 152,953.16

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Solution

The fourth proportional to 602,198.60, 903,298.26 and 152,953.16 is: 229,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,198.60 : 903,298.26 = 152,953.16 : x
  2. Step 2: Convert to fraction form
    602,198.60/903,298.26 = 152,953.16/x
  3. Step 3: Cross multiply
    602,198.60x = 903,298.26 × 152,953.16
  4. Step 4: Simplify right side
    602,198.60x = 138,162,323,289.50
  5. Step 5: Solve for x
    x = 138,162,323,289.50/602,198.60
  6. Step 6: Final answer
    x = 229,429.83

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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.