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Finding the Fourth Proportional to 567,607.24, 783,434.46 and 341,209

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Solution

The fourth proportional to 567,607.24, 783,434.46 and 341,209 is: 470,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,607.24 : 783,434.46 = 341,209 : x
  2. Step 2: Convert to fraction form
    567,607.24/783,434.46 = 341,209/x
  3. Step 3: Cross multiply
    567,607.24x = 783,434.46 × 341,209
  4. Step 4: Simplify right side
    567,607.24x = 267,314,888,662.14
  5. Step 5: Solve for x
    x = 267,314,888,662.14/567,607.24
  6. Step 6: Final answer
    x = 470,950.46

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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.