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Finding the Fourth Proportional to 602,942.70, 903,636.45 and 462,002.70

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Solution

The fourth proportional to 602,942.70, 903,636.45 and 462,002.70 is: 692,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,942.70 : 903,636.45 = 462,002.70 : x
  2. Step 2: Convert to fraction form
    602,942.70/903,636.45 = 462,002.70/x
  3. Step 3: Cross multiply
    602,942.70x = 903,636.45 × 462,002.70
  4. Step 4: Simplify right side
    602,942.70x = 417,482,479,718.42
  5. Step 5: Solve for x
    x = 417,482,479,718.42/602,942.70
  6. Step 6: Final answer
    x = 692,408.22

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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.