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Finding the Fourth Proportional to 410,166.40, 615,249.60 and 365,065.60

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Solution

The fourth proportional to 410,166.40, 615,249.60 and 365,065.60 is: 547,598.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,166.40 : 615,249.60 = 365,065.60 : x
  2. Step 2: Convert to fraction form
    410,166.40/615,249.60 = 365,065.60/x
  3. Step 3: Cross multiply
    410,166.40x = 615,249.60 × 365,065.60
  4. Step 4: Simplify right side
    410,166.40x = 224,606,464,373.76
  5. Step 5: Solve for x
    x = 224,606,464,373.76/410,166.40
  6. Step 6: Final answer
    x = 547,598.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.