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Finding the Fourth Proportional to 567,622.24, 783,455.16 and 341,224

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Solution

The fourth proportional to 567,622.24, 783,455.16 and 341,224 is: 470,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,622.24 : 783,455.16 = 341,224 : x
  2. Step 2: Convert to fraction form
    567,622.24/783,455.16 = 341,224/x
  3. Step 3: Cross multiply
    567,622.24x = 783,455.16 × 341,224
  4. Step 4: Simplify right side
    567,622.24x = 267,333,703,515.84
  5. Step 5: Solve for x
    x = 267,333,703,515.84/567,622.24
  6. Step 6: Final answer
    x = 470,971.16

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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.