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Finding the Fourth Proportional to 601,445.84, 830,022.56 and 343,392.60

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Solution

The fourth proportional to 601,445.84, 830,022.56 and 343,392.60 is: 473,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,445.84 : 830,022.56 = 343,392.60 : x
  2. Step 2: Convert to fraction form
    601,445.84/830,022.56 = 343,392.60/x
  3. Step 3: Cross multiply
    601,445.84x = 830,022.56 × 343,392.60
  4. Step 4: Simplify right side
    601,445.84x = 285,023,604,937.06
  5. Step 5: Solve for x
    x = 285,023,604,937.06/601,445.84
  6. Step 6: Final answer
    x = 473,897.38

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1.5x scale

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.