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Finding the Fourth Proportional to 610,511.80, 915,767.70 and 311,913.40

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Solution

The fourth proportional to 610,511.80, 915,767.70 and 311,913.40 is: 467,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,511.80 : 915,767.70 = 311,913.40 : x
  2. Step 2: Convert to fraction form
    610,511.80/915,767.70 = 311,913.40/x
  3. Step 3: Cross multiply
    610,511.80x = 915,767.70 × 311,913.40
  4. Step 4: Simplify right side
    610,511.80x = 285,640,216,917.18
  5. Step 5: Solve for x
    x = 285,640,216,917.18/610,511.80
  6. Step 6: Final answer
    x = 467,870.10

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1.5x scale

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.