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Finding the Fourth Proportional to 601,830, 830,525.40 and 333,558

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Solution

The fourth proportional to 601,830, 830,525.40 and 333,558 is: 460,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,830 : 830,525.40 = 333,558 : x
  2. Step 2: Convert to fraction form
    601,830/830,525.40 = 333,558/x
  3. Step 3: Cross multiply
    601,830x = 830,525.40 × 333,558
  4. Step 4: Simplify right side
    601,830x = 277,028,391,373.20
  5. Step 5: Solve for x
    x = 277,028,391,373.20/601,830
  6. Step 6: Final answer
    x = 460,310.04

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