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Finding the Fourth Proportional to 597,492.78, 824,529.65 and 325,562.91

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Solution

The fourth proportional to 597,492.78, 824,529.65 and 325,562.91 is: 449,271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,492.78 : 824,529.65 = 325,562.91 : x
  2. Step 2: Convert to fraction form
    597,492.78/824,529.65 = 325,562.91/x
  3. Step 3: Cross multiply
    597,492.78x = 824,529.65 × 325,562.91
  4. Step 4: Simplify right side
    597,492.78x = 268,436,272,235.28
  5. Step 5: Solve for x
    x = 268,436,272,235.28/597,492.78
  6. Step 6: Final answer
    x = 449,271.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.