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Finding the Fourth Proportional to 470,906.60, 706,359.90 and 155,287.40

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Solution

The fourth proportional to 470,906.60, 706,359.90 and 155,287.40 is: 232,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,906.60 : 706,359.90 = 155,287.40 : x
  2. Step 2: Convert to fraction form
    470,906.60/706,359.90 = 155,287.40/x
  3. Step 3: Cross multiply
    470,906.60x = 706,359.90 × 155,287.40
  4. Step 4: Simplify right side
    470,906.60x = 109,688,792,335.26
  5. Step 5: Solve for x
    x = 109,688,792,335.26/470,906.60
  6. Step 6: Final answer
    x = 232,931.10

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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.