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Finding the Fourth Proportional to 470,946.40, 706,419.60 and 155,386.60

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Solution

The fourth proportional to 470,946.40, 706,419.60 and 155,386.60 is: 233,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,946.40 : 706,419.60 = 155,386.60 : x
  2. Step 2: Convert to fraction form
    470,946.40/706,419.60 = 155,386.60/x
  3. Step 3: Cross multiply
    470,946.40x = 706,419.60 × 155,386.60
  4. Step 4: Simplify right side
    470,946.40x = 109,768,139,817.36
  5. Step 5: Solve for x
    x = 109,768,139,817.36/470,946.40
  6. Step 6: Final answer
    x = 233,079.90

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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.