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Finding the Fourth Proportional to 470,897.70, 706,346.55 and 155,313.60

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Solution

The fourth proportional to 470,897.70, 706,346.55 and 155,313.60 is: 232,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,897.70 : 706,346.55 = 155,313.60 : x
  2. Step 2: Convert to fraction form
    470,897.70/706,346.55 = 155,313.60/x
  3. Step 3: Cross multiply
    470,897.70x = 706,346.55 × 155,313.60
  4. Step 4: Simplify right side
    470,897.70x = 109,705,225,528.08
  5. Step 5: Solve for x
    x = 109,705,225,528.08/470,897.70
  6. Step 6: Final answer
    x = 232,970.40

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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.