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Finding the Fourth Proportional to 703,983.84, 971,505.18 and 413,607.57

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Solution

The fourth proportional to 703,983.84, 971,505.18 and 413,607.57 is: 570,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,983.84 : 971,505.18 = 413,607.57 : x
  2. Step 2: Convert to fraction form
    703,983.84/971,505.18 = 413,607.57/x
  3. Step 3: Cross multiply
    703,983.84x = 971,505.18 × 413,607.57
  4. Step 4: Simplify right side
    703,983.84x = 401,821,896,742.21
  5. Step 5: Solve for x
    x = 401,821,896,742.21/703,983.84
  6. Step 6: Final answer
    x = 570,782.84

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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.