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Finding the Fourth Proportional to 473,823.46, 653,874.79 and 258,963.46

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Solution

The fourth proportional to 473,823.46, 653,874.79 and 258,963.46 is: 357,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,823.46 : 653,874.79 = 258,963.46 : x
  2. Step 2: Convert to fraction form
    473,823.46/653,874.79 = 258,963.46/x
  3. Step 3: Cross multiply
    473,823.46x = 653,874.79 × 258,963.46
  4. Step 4: Simplify right side
    473,823.46x = 169,329,678,025.17
  5. Step 5: Solve for x
    x = 169,329,678,025.17/473,823.46
  6. Step 6: Final answer
    x = 357,368.71

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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.