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Finding the Fourth Proportional to 415,491.30, 574,346.61 and 370,614.06

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Solution

The fourth proportional to 415,491.30, 574,346.61 and 370,614.06 is: 512,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,491.30 : 574,346.61 = 370,614.06 : x
  2. Step 2: Convert to fraction form
    415,491.30/574,346.61 = 370,614.06/x
  3. Step 3: Cross multiply
    415,491.30x = 574,346.61 × 370,614.06
  4. Step 4: Simplify right side
    415,491.30x = 212,860,928,979.34
  5. Step 5: Solve for x
    x = 212,860,928,979.34/415,491.30
  6. Step 6: Final answer
    x = 512,311.40

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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.