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Finding the Fourth Proportional to 470,784.20, 706,176.30 and 312,499.40

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Solution

The fourth proportional to 470,784.20, 706,176.30 and 312,499.40 is: 468,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.20 : 706,176.30 = 312,499.40 : x
  2. Step 2: Convert to fraction form
    470,784.20/706,176.30 = 312,499.40/x
  3. Step 3: Cross multiply
    470,784.20x = 706,176.30 × 312,499.40
  4. Step 4: Simplify right side
    470,784.20x = 220,679,670,044.22
  5. Step 5: Solve for x
    x = 220,679,670,044.22/470,784.20
  6. Step 6: Final answer
    x = 468,749.10

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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.