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Finding the Fourth Proportional to 378,186.60, 522,031.14 and 337,830.24

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Solution

The fourth proportional to 378,186.60, 522,031.14 and 337,830.24 is: 466,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,186.60 : 522,031.14 = 337,830.24 : x
  2. Step 2: Convert to fraction form
    378,186.60/522,031.14 = 337,830.24/x
  3. Step 3: Cross multiply
    378,186.60x = 522,031.14 × 337,830.24
  4. Step 4: Simplify right side
    378,186.60x = 176,357,905,313.67
  5. Step 5: Solve for x
    x = 176,357,905,313.67/378,186.60
  6. Step 6: Final answer
    x = 466,325.10

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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.