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Finding the Fourth Proportional to 470,853.70, 706,280.55 and 155,269.60

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Solution

The fourth proportional to 470,853.70, 706,280.55 and 155,269.60 is: 232,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,853.70 : 706,280.55 = 155,269.60 : x
  2. Step 2: Convert to fraction form
    470,853.70/706,280.55 = 155,269.60/x
  3. Step 3: Cross multiply
    470,853.70x = 706,280.55 × 155,269.60
  4. Step 4: Simplify right side
    470,853.70x = 109,663,898,486.28
  5. Step 5: Solve for x
    x = 109,663,898,486.28/470,853.70
  6. Step 6: Final answer
    x = 232,904.40

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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.