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Finding the Fourth Proportional to 470,892.90, 706,339.35 and 155,333.10

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Solution

The fourth proportional to 470,892.90, 706,339.35 and 155,333.10 is: 232,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.90 : 706,339.35 = 155,333.10 : x
  2. Step 2: Convert to fraction form
    470,892.90/706,339.35 = 155,333.10/x
  3. Step 3: Cross multiply
    470,892.90x = 706,339.35 × 155,333.10
  4. Step 4: Simplify right side
    470,892.90x = 109,717,880,887.49
  5. Step 5: Solve for x
    x = 109,717,880,887.49/470,892.90
  6. Step 6: Final answer
    x = 232,999.65

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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.