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Finding the Fourth Proportional to 705,321.69, 973,363.20 and 414,953.70

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Solution

The fourth proportional to 705,321.69, 973,363.20 and 414,953.70 is: 572,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,321.69 : 973,363.20 = 414,953.70 : x
  2. Step 2: Convert to fraction form
    705,321.69/973,363.20 = 414,953.70/x
  3. Step 3: Cross multiply
    705,321.69x = 973,363.20 × 414,953.70
  4. Step 4: Simplify right side
    705,321.69x = 403,900,661,283.84
  5. Step 5: Solve for x
    x = 403,900,661,283.84/705,321.69
  6. Step 6: Final answer
    x = 572,647.44

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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.