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Finding the Fourth Proportional to 487,916.80, 733,624.80 and 410,934.40

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Solution

The fourth proportional to 487,916.80, 733,624.80 and 410,934.40 is: 617,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,916.80 : 733,624.80 = 410,934.40 : x
  2. Step 2: Convert to fraction form
    487,916.80/733,624.80 = 410,934.40/x
  3. Step 3: Cross multiply
    487,916.80x = 733,624.80 × 410,934.40
  4. Step 4: Simplify right side
    487,916.80x = 301,471,667,013.12
  5. Step 5: Solve for x
    x = 301,471,667,013.12/487,916.80
  6. Step 6: Final answer
    x = 617,875.15

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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.