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Finding the Fourth Proportional to 372,947.40, 559,421.10 and 313,898.40

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Solution

The fourth proportional to 372,947.40, 559,421.10 and 313,898.40 is: 470,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,947.40 : 559,421.10 = 313,898.40 : x
  2. Step 2: Convert to fraction form
    372,947.40/559,421.10 = 313,898.40/x
  3. Step 3: Cross multiply
    372,947.40x = 559,421.10 × 313,898.40
  4. Step 4: Simplify right side
    372,947.40x = 175,601,388,216.24
  5. Step 5: Solve for x
    x = 175,601,388,216.24/372,947.40
  6. Step 6: Final answer
    x = 470,847.60

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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.