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Finding the Fourth Proportional to 283,762.34, 391,594.70 and 156,442.49

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Solution

The fourth proportional to 283,762.34, 391,594.70 and 156,442.49 is: 215,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,762.34 : 391,594.70 = 156,442.49 : x
  2. Step 2: Convert to fraction form
    283,762.34/391,594.70 = 156,442.49/x
  3. Step 3: Cross multiply
    283,762.34x = 391,594.70 × 156,442.49
  4. Step 4: Simplify right side
    283,762.34x = 61,262,049,840.42
  5. Step 5: Solve for x
    x = 61,262,049,840.42/283,762.34
  6. Step 6: Final answer
    x = 215,892.11

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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.