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Finding the Fourth Proportional to 602,005.70, 903,008.55 and 546,893.30

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Solution

The fourth proportional to 602,005.70, 903,008.55 and 546,893.30 is: 820,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,005.70 : 903,008.55 = 546,893.30 : x
  2. Step 2: Convert to fraction form
    602,005.70/903,008.55 = 546,893.30/x
  3. Step 3: Cross multiply
    602,005.70x = 903,008.55 × 546,893.30
  4. Step 4: Simplify right side
    602,005.70x = 493,849,325,837.72
  5. Step 5: Solve for x
    x = 493,849,325,837.72/602,005.70
  6. Step 6: Final answer
    x = 820,339.95

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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.