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Finding the Fourth Proportional to 705,586.88, 974,113.56 and 464,569.44

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Solution

The fourth proportional to 705,586.88, 974,113.56 and 464,569.44 is: 641,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,586.88 : 974,113.56 = 464,569.44 : x
  2. Step 2: Convert to fraction form
    705,586.88/974,113.56 = 464,569.44/x
  3. Step 3: Cross multiply
    705,586.88x = 974,113.56 × 464,569.44
  4. Step 4: Simplify right side
    705,586.88x = 452,543,391,065.61
  5. Step 5: Solve for x
    x = 452,543,391,065.61/705,586.88
  6. Step 6: Final answer
    x = 641,371.61

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Double scale
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1.5x scale

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.