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Finding the Fourth Proportional to 470,784.60, 706,176.90 and 470,784.60

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Solution

The fourth proportional to 470,784.60, 706,176.90 and 470,784.60 is: 706,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.60 : 706,176.90 = 470,784.60 : x
  2. Step 2: Convert to fraction form
    470,784.60/706,176.90 = 470,784.60/x
  3. Step 3: Cross multiply
    470,784.60x = 706,176.90 × 470,784.60
  4. Step 4: Simplify right side
    470,784.60x = 332,457,209,395.74
  5. Step 5: Solve for x
    x = 332,457,209,395.74/470,784.60
  6. Step 6: Final answer
    x = 706,176.90

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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.