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Finding the Fourth Proportional to 477,624.78, 659,284.04 and 296,442.76

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Solution

The fourth proportional to 477,624.78, 659,284.04 and 296,442.76 is: 409,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,624.78 : 659,284.04 = 296,442.76 : x
  2. Step 2: Convert to fraction form
    477,624.78/659,284.04 = 296,442.76/x
  3. Step 3: Cross multiply
    477,624.78x = 659,284.04 × 296,442.76
  4. Step 4: Simplify right side
    477,624.78x = 195,439,980,441.55
  5. Step 5: Solve for x
    x = 195,439,980,441.55/477,624.78
  6. Step 6: Final answer
    x = 409,191.46

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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.