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Finding the Fourth Proportional to 601,580, 830,180.40 and 333,308

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Solution

The fourth proportional to 601,580, 830,180.40 and 333,308 is: 459,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,580 : 830,180.40 = 333,308 : x
  2. Step 2: Convert to fraction form
    601,580/830,180.40 = 333,308/x
  3. Step 3: Cross multiply
    601,580x = 830,180.40 × 333,308
  4. Step 4: Simplify right side
    601,580x = 276,705,768,763.20
  5. Step 5: Solve for x
    x = 276,705,768,763.20/601,580
  6. Step 6: Final answer
    x = 459,965.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.