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Finding the Fourth Proportional to 705,324.39, 974,011.68 and 491,050.23

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Solution

The fourth proportional to 705,324.39, 974,011.68 and 491,050.23 is: 678,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,324.39 : 974,011.68 = 491,050.23 : x
  2. Step 2: Convert to fraction form
    705,324.39/974,011.68 = 491,050.23/x
  3. Step 3: Cross multiply
    705,324.39x = 974,011.68 × 491,050.23
  4. Step 4: Simplify right side
    705,324.39x = 478,288,659,486.69
  5. Step 5: Solve for x
    x = 478,288,659,486.69/705,324.39
  6. Step 6: Final answer
    x = 678,111.61

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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.