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Finding the Fourth Proportional to 567,142.78, 782,712.19 and 423,653.71

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Solution

The fourth proportional to 567,142.78, 782,712.19 and 423,653.71 is: 584,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,142.78 : 782,712.19 = 423,653.71 : x
  2. Step 2: Convert to fraction form
    567,142.78/782,712.19 = 423,653.71/x
  3. Step 3: Cross multiply
    567,142.78x = 782,712.19 × 423,653.71
  4. Step 4: Simplify right side
    567,142.78x = 331,598,919,242.16
  5. Step 5: Solve for x
    x = 331,598,919,242.16/567,142.78
  6. Step 6: Final answer
    x = 584,683.32

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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.