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Finding the Fourth Proportional to 688,171.34, 949,751.33 and 416,389.21

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Solution

The fourth proportional to 688,171.34, 949,751.33 and 416,389.21 is: 574,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,171.34 : 949,751.33 = 416,389.21 : x
  2. Step 2: Convert to fraction form
    688,171.34/949,751.33 = 416,389.21/x
  3. Step 3: Cross multiply
    688,171.34x = 949,751.33 × 416,389.21
  4. Step 4: Simplify right side
    688,171.34x = 395,466,201,538.83
  5. Step 5: Solve for x
    x = 395,466,201,538.83/688,171.34
  6. Step 6: Final answer
    x = 574,662.41

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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.