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Finding the Fourth Proportional to 706,193.60, 1,058,368.80 and 327,070.40

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Solution

The fourth proportional to 706,193.60, 1,058,368.80 and 327,070.40 is: 490,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,193.60 : 1,058,368.80 = 327,070.40 : x
  2. Step 2: Convert to fraction form
    706,193.60/1,058,368.80 = 327,070.40/x
  3. Step 3: Cross multiply
    706,193.60x = 1,058,368.80 × 327,070.40
  4. Step 4: Simplify right side
    706,193.60x = 346,161,106,763.52
  5. Step 5: Solve for x
    x = 346,161,106,763.52/706,193.60
  6. Step 6: Final answer
    x = 490,178.77

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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.