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Finding the Fourth Proportional to 601,380.76, 829,883.78 and 343,271.02

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Solution

The fourth proportional to 601,380.76, 829,883.78 and 343,271.02 is: 473,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,380.76 : 829,883.78 = 343,271.02 : x
  2. Step 2: Convert to fraction form
    601,380.76/829,883.78 = 343,271.02/x
  3. Step 3: Cross multiply
    601,380.76x = 829,883.78 × 343,271.02
  4. Step 4: Simplify right side
    601,380.76x = 284,875,051,642.06
  5. Step 5: Solve for x
    x = 284,875,051,642.06/601,380.76
  6. Step 6: Final answer
    x = 473,701.64

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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.